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Finding the Fourth Proportional to 101,980.20, 152,917.77 and 45,772.12

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Solution

The fourth proportional to 101,980.20, 152,917.77 and 45,772.12 is: 68,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.20 : 152,917.77 = 45,772.12 : x
  2. Step 2: Convert to fraction form
    101,980.20/152,917.77 = 45,772.12/x
  3. Step 3: Cross multiply
    101,980.20x = 152,917.77 × 45,772.12
  4. Step 4: Simplify right side
    101,980.20x = 6,999,370,881.37
  5. Step 5: Solve for x
    x = 6,999,370,881.37/101,980.20
  6. Step 6: Final answer
    x = 68,634.61

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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.