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Finding the Fourth Proportional to 78,387.71, 117,563.82 and 36,244.82

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Solution

The fourth proportional to 78,387.71, 117,563.82 and 36,244.82 is: 54,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,387.71 : 117,563.82 = 36,244.82 : x
  2. Step 2: Convert to fraction form
    78,387.71/117,563.82 = 36,244.82/x
  3. Step 3: Cross multiply
    78,387.71x = 117,563.82 × 36,244.82
  4. Step 4: Simplify right side
    78,387.71x = 4,261,079,494.41
  5. Step 5: Solve for x
    x = 4,261,079,494.41/78,387.71
  6. Step 6: Final answer
    x = 54,359.03

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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.