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Finding the Fourth Proportional to 78,074.17, 107,755.11 and 47,876.11

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Solution

The fourth proportional to 78,074.17, 107,755.11 and 47,876.11 is: 66,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.17 : 107,755.11 = 47,876.11 : x
  2. Step 2: Convert to fraction form
    78,074.17/107,755.11 = 47,876.11/x
  3. Step 3: Cross multiply
    78,074.17x = 107,755.11 × 47,876.11
  4. Step 4: Simplify right side
    78,074.17x = 5,158,895,499.42
  5. Step 5: Solve for x
    x = 5,158,895,499.42/78,074.17
  6. Step 6: Final answer
    x = 66,076.85

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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.