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Finding the Fourth Proportional to 89,215, 133,874.34 and 39,967

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Solution

The fourth proportional to 89,215, 133,874.34 and 39,967 is: 59,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 133,874.34 = 39,967 : x
  2. Step 2: Convert to fraction form
    89,215/133,874.34 = 39,967/x
  3. Step 3: Cross multiply
    89,215x = 133,874.34 × 39,967
  4. Step 4: Simplify right side
    89,215x = 5,350,555,746.78
  5. Step 5: Solve for x
    x = 5,350,555,746.78/89,215
  6. Step 6: Final answer
    x = 59,973.72

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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.