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Finding the Fourth Proportional to 120,033.96, 165,644.10 and 66,316.20

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Solution

The fourth proportional to 120,033.96, 165,644.10 and 66,316.20 is: 91,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,033.96 : 165,644.10 = 66,316.20 : x
  2. Step 2: Convert to fraction form
    120,033.96/165,644.10 = 66,316.20/x
  3. Step 3: Cross multiply
    120,033.96x = 165,644.10 × 66,316.20
  4. Step 4: Simplify right side
    120,033.96x = 10,984,887,264.42
  5. Step 5: Solve for x
    x = 10,984,887,264.42/120,033.96
  6. Step 6: Final answer
    x = 91,514.83

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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.