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Finding the Fourth Proportional to 83,616.30, 115,371.54 and 47,800.53

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Solution

The fourth proportional to 83,616.30, 115,371.54 and 47,800.53 is: 65,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,616.30 : 115,371.54 = 47,800.53 : x
  2. Step 2: Convert to fraction form
    83,616.30/115,371.54 = 47,800.53/x
  3. Step 3: Cross multiply
    83,616.30x = 115,371.54 × 47,800.53
  4. Step 4: Simplify right side
    83,616.30x = 5,514,820,758.92
  5. Step 5: Solve for x
    x = 5,514,820,758.92/83,616.30
  6. Step 6: Final answer
    x = 65,953.90

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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.