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Finding the Fourth Proportional to 71,385.78, 107,084.13 and 18,794.50

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Solution

The fourth proportional to 71,385.78, 107,084.13 and 18,794.50 is: 28,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.78 : 107,084.13 = 18,794.50 : x
  2. Step 2: Convert to fraction form
    71,385.78/107,084.13 = 18,794.50/x
  3. Step 3: Cross multiply
    71,385.78x = 107,084.13 × 18,794.50
  4. Step 4: Simplify right side
    71,385.78x = 2,012,592,681.29
  5. Step 5: Solve for x
    x = 2,012,592,681.29/71,385.78
  6. Step 6: Final answer
    x = 28,193.19

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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.