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Finding the Fourth Proportional to 81,487.52, 122,266.14 and 34,113.68

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Solution

The fourth proportional to 81,487.52, 122,266.14 and 34,113.68 is: 51,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,487.52 : 122,266.14 = 34,113.68 : x
  2. Step 2: Convert to fraction form
    81,487.52/122,266.14 = 34,113.68/x
  3. Step 3: Cross multiply
    81,487.52x = 122,266.14 × 34,113.68
  4. Step 4: Simplify right side
    81,487.52x = 4,170,947,974.80
  5. Step 5: Solve for x
    x = 4,170,947,974.80/81,487.52
  6. Step 6: Final answer
    x = 51,185.11

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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.