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Finding the Fourth Proportional to 120,989,999.70, 181,484,999.55 and 105,873,455.70

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Solution

The fourth proportional to 120,989,999.70, 181,484,999.55 and 105,873,455.70 is: 158,810,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989,999.70 : 181,484,999.55 = 105,873,455.70 : x
  2. Step 2: Convert to fraction form
    120,989,999.70/181,484,999.55 = 105,873,455.70/x
  3. Step 3: Cross multiply
    120,989,999.70x = 181,484,999.55 × 105,873,455.70
  4. Step 4: Simplify right side
    120,989,999.70x = 19,214,444,060,071,448
  5. Step 5: Solve for x
    x = 19,214,444,060,071,448/120,989,999.70
  6. Step 6: Final answer
    x = 158,810,183.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.