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Finding the Fourth Proportional to 78,175.60, 107,882.08 and 42,366.52

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Solution

The fourth proportional to 78,175.60, 107,882.08 and 42,366.52 is: 58,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.60 : 107,882.08 = 42,366.52 : x
  2. Step 2: Convert to fraction form
    78,175.60/107,882.08 = 42,366.52/x
  3. Step 3: Cross multiply
    78,175.60x = 107,882.08 × 42,366.52
  4. Step 4: Simplify right side
    78,175.60x = 4,570,588,299.96
  5. Step 5: Solve for x
    x = 4,570,588,299.96/78,175.60
  6. Step 6: Final answer
    x = 58,465.66

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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.