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Finding the Fourth Proportional to 83,695.50, 115,471.68 and 47,392

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Solution

The fourth proportional to 83,695.50, 115,471.68 and 47,392 is: 65,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,695.50 : 115,471.68 = 47,392 : x
  2. Step 2: Convert to fraction form
    83,695.50/115,471.68 = 47,392/x
  3. Step 3: Cross multiply
    83,695.50x = 115,471.68 × 47,392
  4. Step 4: Simplify right side
    83,695.50x = 5,472,433,858.56
  5. Step 5: Solve for x
    x = 5,472,433,858.56/83,695.50
  6. Step 6: Final answer
    x = 65,385.04

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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.