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Finding the Fourth Proportional to 120,158.47, 165,815.40 and 66,441.70

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Solution

The fourth proportional to 120,158.47, 165,815.40 and 66,441.70 is: 91,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.47 : 165,815.40 = 66,441.70 : x
  2. Step 2: Convert to fraction form
    120,158.47/165,815.40 = 66,441.70/x
  3. Step 3: Cross multiply
    120,158.47x = 165,815.40 × 66,441.70
  4. Step 4: Simplify right side
    120,158.47x = 11,017,057,062.18
  5. Step 5: Solve for x
    x = 11,017,057,062.18/120,158.47
  6. Step 6: Final answer
    x = 91,687.73

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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.