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Finding the Fourth Proportional to 78,165.50, 107,876.59 and 47,943.90

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Solution

The fourth proportional to 78,165.50, 107,876.59 and 47,943.90 is: 66,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.50 : 107,876.59 = 47,943.90 : x
  2. Step 2: Convert to fraction form
    78,165.50/107,876.59 = 47,943.90/x
  3. Step 3: Cross multiply
    78,165.50x = 107,876.59 × 47,943.90
  4. Step 4: Simplify right side
    78,165.50x = 5,172,023,903.92
  5. Step 5: Solve for x
    x = 5,172,023,903.92/78,165.50
  6. Step 6: Final answer
    x = 66,167.60

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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.