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Finding the Fourth Proportional to 78,149.68, 107,846.40 and 42,340.58

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Solution

The fourth proportional to 78,149.68, 107,846.40 and 42,340.58 is: 58,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.68 : 107,846.40 = 42,340.58 : x
  2. Step 2: Convert to fraction form
    78,149.68/107,846.40 = 42,340.58/x
  3. Step 3: Cross multiply
    78,149.68x = 107,846.40 × 42,340.58
  4. Step 4: Simplify right side
    78,149.68x = 4,566,279,126.91
  5. Step 5: Solve for x
    x = 4,566,279,126.91/78,149.68
  6. Step 6: Final answer
    x = 58,429.91

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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.