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Finding the Fourth Proportional to 120,132.92, 165,784.08 and 65,685.28

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Solution

The fourth proportional to 120,132.92, 165,784.08 and 65,685.28 is: 90,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,132.92 : 165,784.08 = 65,685.28 : x
  2. Step 2: Convert to fraction form
    120,132.92/165,784.08 = 65,685.28/x
  3. Step 3: Cross multiply
    120,132.92x = 165,784.08 × 65,685.28
  4. Step 4: Simplify right side
    120,132.92x = 10,889,573,714.34
  5. Step 5: Solve for x
    x = 10,889,573,714.34/120,132.92
  6. Step 6: Final answer
    x = 90,646.04

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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.