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Finding the Fourth Proportional to 77,432, 116,069.56 and 52,474.58

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Solution

The fourth proportional to 77,432, 116,069.56 and 52,474.58 is: 78,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,432 : 116,069.56 = 52,474.58 : x
  2. Step 2: Convert to fraction form
    77,432/116,069.56 = 52,474.58/x
  3. Step 3: Cross multiply
    77,432x = 116,069.56 × 52,474.58
  4. Step 4: Simplify right side
    77,432x = 6,090,701,411.78
  5. Step 5: Solve for x
    x = 6,090,701,411.78/77,432
  6. Step 6: Final answer
    x = 78,658.71

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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.