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Finding the Fourth Proportional to 78,115.22, 107,797.72 and 42,304.91

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Solution

The fourth proportional to 78,115.22, 107,797.72 and 42,304.91 is: 58,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.22 : 107,797.72 = 42,304.91 : x
  2. Step 2: Convert to fraction form
    78,115.22/107,797.72 = 42,304.91/x
  3. Step 3: Cross multiply
    78,115.22x = 107,797.72 × 42,304.91
  4. Step 4: Simplify right side
    78,115.22x = 4,560,372,631.28
  5. Step 5: Solve for x
    x = 4,560,372,631.28/78,115.22
  6. Step 6: Final answer
    x = 58,380.08

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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.