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Finding the Fourth Proportional to 77,536.80, 116,305.92 and 21,377.88

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Solution

The fourth proportional to 77,536.80, 116,305.92 and 21,377.88 is: 32,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536.80 : 116,305.92 = 21,377.88 : x
  2. Step 2: Convert to fraction form
    77,536.80/116,305.92 = 21,377.88/x
  3. Step 3: Cross multiply
    77,536.80x = 116,305.92 × 21,377.88
  4. Step 4: Simplify right side
    77,536.80x = 2,486,374,001.05
  5. Step 5: Solve for x
    x = 2,486,374,001.05/77,536.80
  6. Step 6: Final answer
    x = 32,067.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.