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Finding the Fourth Proportional to 75,316.64, 112,753.04 and 65,974.90

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Solution

The fourth proportional to 75,316.64, 112,753.04 and 65,974.90 is: 98,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,316.64 : 112,753.04 = 65,974.90 : x
  2. Step 2: Convert to fraction form
    75,316.64/112,753.04 = 65,974.90/x
  3. Step 3: Cross multiply
    75,316.64x = 112,753.04 × 65,974.90
  4. Step 4: Simplify right side
    75,316.64x = 7,438,870,538.70
  5. Step 5: Solve for x
    x = 7,438,870,538.70/75,316.64
  6. Step 6: Final answer
    x = 98,767.96

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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.