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Finding the Fourth Proportional to 78,119.87, 107,805.32 and 42,310.02

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Solution

The fourth proportional to 78,119.87, 107,805.32 and 42,310.02 is: 58,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.87 : 107,805.32 = 42,310.02 : x
  2. Step 2: Convert to fraction form
    78,119.87/107,805.32 = 42,310.02/x
  3. Step 3: Cross multiply
    78,119.87x = 107,805.32 × 42,310.02
  4. Step 4: Simplify right side
    78,119.87x = 4,561,245,233.99
  5. Step 5: Solve for x
    x = 4,561,245,233.99/78,119.87
  6. Step 6: Final answer
    x = 58,387.77

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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.