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Finding the Fourth Proportional to 83,280, 114,926.64 and 45,553.92

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Solution

The fourth proportional to 83,280, 114,926.64 and 45,553.92 is: 62,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,280 : 114,926.64 = 45,553.92 : x
  2. Step 2: Convert to fraction form
    83,280/114,926.64 = 45,553.92/x
  3. Step 3: Cross multiply
    83,280x = 114,926.64 × 45,553.92
  4. Step 4: Simplify right side
    83,280x = 5,235,358,964.43
  5. Step 5: Solve for x
    x = 5,235,358,964.43/83,280
  6. Step 6: Final answer
    x = 62,864.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.