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Finding the Fourth Proportional to 78,119.84, 107,805.12 and 42,309.76

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Solution

The fourth proportional to 78,119.84, 107,805.12 and 42,309.76 is: 58,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.84 : 107,805.12 = 42,309.76 : x
  2. Step 2: Convert to fraction form
    78,119.84/107,805.12 = 42,309.76/x
  3. Step 3: Cross multiply
    78,119.84x = 107,805.12 × 42,309.76
  4. Step 4: Simplify right side
    78,119.84x = 4,561,208,753.97
  5. Step 5: Solve for x
    x = 4,561,208,753.97/78,119.84
  6. Step 6: Final answer
    x = 58,387.33

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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.