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Finding the Fourth Proportional to 78,152.44, 107,850.46 and 42,342.44

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Solution

The fourth proportional to 78,152.44, 107,850.46 and 42,342.44 is: 58,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.44 : 107,850.46 = 42,342.44 : x
  2. Step 2: Convert to fraction form
    78,152.44/107,850.46 = 42,342.44/x
  3. Step 3: Cross multiply
    78,152.44x = 107,850.46 × 42,342.44
  4. Step 4: Simplify right side
    78,152.44x = 4,566,651,631.52
  5. Step 5: Solve for x
    x = 4,566,651,631.52/78,152.44
  6. Step 6: Final answer
    x = 58,432.62

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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.