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Finding the Fourth Proportional to 121,323.70, 181,985.55 and 77,146.30

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Solution

The fourth proportional to 121,323.70, 181,985.55 and 77,146.30 is: 115,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,323.70 : 181,985.55 = 77,146.30 : x
  2. Step 2: Convert to fraction form
    121,323.70/181,985.55 = 77,146.30/x
  3. Step 3: Cross multiply
    121,323.70x = 181,985.55 × 77,146.30
  4. Step 4: Simplify right side
    121,323.70x = 14,039,511,835.97
  5. Step 5: Solve for x
    x = 14,039,511,835.97/121,323.70
  6. Step 6: Final answer
    x = 115,719.45

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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.