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Finding the Fourth Proportional to 77,876.80, 107,469.91 and 42,066.80

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Solution

The fourth proportional to 77,876.80, 107,469.91 and 42,066.80 is: 58,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.80 : 107,469.91 = 42,066.80 : x
  2. Step 2: Convert to fraction form
    77,876.80/107,469.91 = 42,066.80/x
  3. Step 3: Cross multiply
    77,876.80x = 107,469.91 × 42,066.80
  4. Step 4: Simplify right side
    77,876.80x = 4,520,914,567.47
  5. Step 5: Solve for x
    x = 4,520,914,567.47/77,876.80
  6. Step 6: Final answer
    x = 58,052.14

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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.