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Finding the Fourth Proportional to 77,890.92, 107,489.33 and 42,080.82

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Solution

The fourth proportional to 77,890.92, 107,489.33 and 42,080.82 is: 58,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,890.92 : 107,489.33 = 42,080.82 : x
  2. Step 2: Convert to fraction form
    77,890.92/107,489.33 = 42,080.82/x
  3. Step 3: Cross multiply
    77,890.92x = 107,489.33 × 42,080.82
  4. Step 4: Simplify right side
    77,890.92x = 4,523,238,691.96
  5. Step 5: Solve for x
    x = 4,523,238,691.96/77,890.92
  6. Step 6: Final answer
    x = 58,071.45

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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.