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Finding the Fourth Proportional to 52,481, 78,721.50 and 13,569

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Solution

The fourth proportional to 52,481, 78,721.50 and 13,569 is: 20,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,481 : 78,721.50 = 13,569 : x
  2. Step 2: Convert to fraction form
    52,481/78,721.50 = 13,569/x
  3. Step 3: Cross multiply
    52,481x = 78,721.50 × 13,569
  4. Step 4: Simplify right side
    52,481x = 1,068,172,033.50
  5. Step 5: Solve for x
    x = 1,068,172,033.50/52,481
  6. Step 6: Final answer
    x = 20,353.50

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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.