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Finding the Fourth Proportional to 78,431.85, 117,551.43 and 36,254.88

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Solution

The fourth proportional to 78,431.85, 117,551.43 and 36,254.88 is: 54,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.85 : 117,551.43 = 36,254.88 : x
  2. Step 2: Convert to fraction form
    78,431.85/117,551.43 = 36,254.88/x
  3. Step 3: Cross multiply
    78,431.85x = 117,551.43 × 36,254.88
  4. Step 4: Simplify right side
    78,431.85x = 4,261,812,988.48
  5. Step 5: Solve for x
    x = 4,261,812,988.48/78,431.85
  6. Step 6: Final answer
    x = 54,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.