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Finding the Fourth Proportional to 56,456.80, 77,874.60 and 36,278.96

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Solution

The fourth proportional to 56,456.80, 77,874.60 and 36,278.96 is: 50,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,456.80 : 77,874.60 = 36,278.96 : x
  2. Step 2: Convert to fraction form
    56,456.80/77,874.60 = 36,278.96/x
  3. Step 3: Cross multiply
    56,456.80x = 77,874.60 × 36,278.96
  4. Step 4: Simplify right side
    56,456.80x = 2,825,209,498.42
  5. Step 5: Solve for x
    x = 2,825,209,498.42/56,456.80
  6. Step 6: Final answer
    x = 50,041.97

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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.