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Finding the Fourth Proportional to 89,134.78, 133,612.16 and 55,878.20

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Solution

The fourth proportional to 89,134.78, 133,612.16 and 55,878.20 is: 83,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,134.78 : 133,612.16 = 55,878.20 : x
  2. Step 2: Convert to fraction form
    89,134.78/133,612.16 = 55,878.20/x
  3. Step 3: Cross multiply
    89,134.78x = 133,612.16 × 55,878.20
  4. Step 4: Simplify right side
    89,134.78x = 7,466,006,998.91
  5. Step 5: Solve for x
    x = 7,466,006,998.91/89,134.78
  6. Step 6: Final answer
    x = 83,760.87

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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.