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Finding the Fourth Proportional to 97,269.61, 145,904.42 and 75,115.30

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Solution

The fourth proportional to 97,269.61, 145,904.42 and 75,115.30 is: 112,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,269.61 : 145,904.42 = 75,115.30 : x
  2. Step 2: Convert to fraction form
    97,269.61/145,904.42 = 75,115.30/x
  3. Step 3: Cross multiply
    97,269.61x = 145,904.42 × 75,115.30
  4. Step 4: Simplify right side
    97,269.61x = 10,959,654,279.63
  5. Step 5: Solve for x
    x = 10,959,654,279.63/97,269.61
  6. Step 6: Final answer
    x = 112,672.95

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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.