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Finding the Fourth Proportional to 71,658.70, 98,663.13 and 65,015.69

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Solution

The fourth proportional to 71,658.70, 98,663.13 and 65,015.69 is: 89,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658.70 : 98,663.13 = 65,015.69 : x
  2. Step 2: Convert to fraction form
    71,658.70/98,663.13 = 65,015.69/x
  3. Step 3: Cross multiply
    71,658.70x = 98,663.13 × 65,015.69
  4. Step 4: Simplify right side
    71,658.70x = 6,414,650,981.19
  5. Step 5: Solve for x
    x = 6,414,650,981.19/71,658.70
  6. Step 6: Final answer
    x = 89,516.71

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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.