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Finding the Fourth Proportional to 83,474.77, 115,172.76 and 47,657.65

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Solution

The fourth proportional to 83,474.77, 115,172.76 and 47,657.65 is: 65,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,474.77 : 115,172.76 = 47,657.65 : x
  2. Step 2: Convert to fraction form
    83,474.77/115,172.76 = 47,657.65/x
  3. Step 3: Cross multiply
    83,474.77x = 115,172.76 × 47,657.65
  4. Step 4: Simplify right side
    83,474.77x = 5,488,862,976.40
  5. Step 5: Solve for x
    x = 5,488,862,976.40/83,474.77
  6. Step 6: Final answer
    x = 65,754.76

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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.