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Finding the Fourth Proportional to 78,150.44, 107,847.70 and 42,340.44

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Solution

The fourth proportional to 78,150.44, 107,847.70 and 42,340.44 is: 58,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,150.44 : 107,847.70 = 42,340.44 : x
  2. Step 2: Convert to fraction form
    78,150.44/107,847.70 = 42,340.44/x
  3. Step 3: Cross multiply
    78,150.44x = 107,847.70 × 42,340.44
  4. Step 4: Simplify right side
    78,150.44x = 4,566,319,001.09
  5. Step 5: Solve for x
    x = 4,566,319,001.09/78,150.44
  6. Step 6: Final answer
    x = 58,429.86

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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.