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Finding the Fourth Proportional to 56,874, 78,481.20 and 36,731.76

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Solution

The fourth proportional to 56,874, 78,481.20 and 36,731.76 is: 50,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874 : 78,481.20 = 36,731.76 : x
  2. Step 2: Convert to fraction form
    56,874/78,481.20 = 36,731.76/x
  3. Step 3: Cross multiply
    56,874x = 78,481.20 × 36,731.76
  4. Step 4: Simplify right side
    56,874x = 2,882,752,602.91
  5. Step 5: Solve for x
    x = 2,882,752,602.91/56,874
  6. Step 6: Final answer
    x = 50,686.65

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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.