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Finding the Fourth Proportional to 120,158.13, 165,819.08 and 65,710.55

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Solution

The fourth proportional to 120,158.13, 165,819.08 and 65,710.55 is: 90,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.13 : 165,819.08 = 65,710.55 : x
  2. Step 2: Convert to fraction form
    120,158.13/165,819.08 = 65,710.55/x
  3. Step 3: Cross multiply
    120,158.13x = 165,819.08 × 65,710.55
  4. Step 4: Simplify right side
    120,158.13x = 10,896,061,789.65
  5. Step 5: Solve for x
    x = 10,896,061,789.65/120,158.13
  6. Step 6: Final answer
    x = 90,681.02

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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.