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Finding the Fourth Proportional to 97,319.80, 145,979.70 and 91,414.90

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Solution

The fourth proportional to 97,319.80, 145,979.70 and 91,414.90 is: 137,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,319.80 : 145,979.70 = 91,414.90 : x
  2. Step 2: Convert to fraction form
    97,319.80/145,979.70 = 91,414.90/x
  3. Step 3: Cross multiply
    97,319.80x = 145,979.70 × 91,414.90
  4. Step 4: Simplify right side
    97,319.80x = 13,344,719,677.53
  5. Step 5: Solve for x
    x = 13,344,719,677.53/97,319.80
  6. Step 6: Final answer
    x = 137,122.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.