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Finding the Fourth Proportional to 89,381.86, 133,948.24 and 67,169.30

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Solution

The fourth proportional to 89,381.86, 133,948.24 and 67,169.30 is: 100,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,381.86 : 133,948.24 = 67,169.30 : x
  2. Step 2: Convert to fraction form
    89,381.86/133,948.24 = 67,169.30/x
  3. Step 3: Cross multiply
    89,381.86x = 133,948.24 × 67,169.30
  4. Step 4: Simplify right side
    89,381.86x = 8,997,208,679.37
  5. Step 5: Solve for x
    x = 8,997,208,679.37/89,381.86
  6. Step 6: Final answer
    x = 100,660.35

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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.