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Finding the Fourth Proportional to 120,129.78, 165,772.32 and 66,411.60

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Solution

The fourth proportional to 120,129.78, 165,772.32 and 66,411.60 is: 91,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.78 : 165,772.32 = 66,411.60 : x
  2. Step 2: Convert to fraction form
    120,129.78/165,772.32 = 66,411.60/x
  3. Step 3: Cross multiply
    120,129.78x = 165,772.32 × 66,411.60
  4. Step 4: Simplify right side
    120,129.78x = 11,009,205,006.91
  5. Step 5: Solve for x
    x = 11,009,205,006.91/120,129.78
  6. Step 6: Final answer
    x = 91,644.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.