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Finding the Fourth Proportional to 120,064.31, 165,689.26 and 65,617.59

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Solution

The fourth proportional to 120,064.31, 165,689.26 and 65,617.59 is: 90,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,064.31 : 165,689.26 = 65,617.59 : x
  2. Step 2: Convert to fraction form
    120,064.31/165,689.26 = 65,617.59/x
  3. Step 3: Cross multiply
    120,064.31x = 165,689.26 × 65,617.59
  4. Step 4: Simplify right side
    120,064.31x = 10,872,129,930.08
  5. Step 5: Solve for x
    x = 10,872,129,930.08/120,064.31
  6. Step 6: Final answer
    x = 90,552.55

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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.