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Finding the Fourth Proportional to 89,372.20, 133,766.70 and 71,681.80

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Solution

The fourth proportional to 89,372.20, 133,766.70 and 71,681.80 is: 107,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,372.20 : 133,766.70 = 71,681.80 : x
  2. Step 2: Convert to fraction form
    89,372.20/133,766.70 = 71,681.80/x
  3. Step 3: Cross multiply
    89,372.20x = 133,766.70 × 71,681.80
  4. Step 4: Simplify right side
    89,372.20x = 9,588,637,836.06
  5. Step 5: Solve for x
    x = 9,588,637,836.06/89,372.20
  6. Step 6: Final answer
    x = 107,288.82

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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.