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Finding the Fourth Proportional to 71,534.43, 107,301.66 and 18,948.03

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Solution

The fourth proportional to 71,534.43, 107,301.66 and 18,948.03 is: 28,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.43 : 107,301.66 = 18,948.03 : x
  2. Step 2: Convert to fraction form
    71,534.43/107,301.66 = 18,948.03/x
  3. Step 3: Cross multiply
    71,534.43x = 107,301.66 × 18,948.03
  4. Step 4: Simplify right side
    71,534.43x = 2,033,155,072.73
  5. Step 5: Solve for x
    x = 2,033,155,072.73/71,534.43
  6. Step 6: Final answer
    x = 28,422.05

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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.