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Finding the Fourth Proportional to 71,691, 107,551.08 and 30,138

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Solution

The fourth proportional to 71,691, 107,551.08 and 30,138 is: 45,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691 : 107,551.08 = 30,138 : x
  2. Step 2: Convert to fraction form
    71,691/107,551.08 = 30,138/x
  3. Step 3: Cross multiply
    71,691x = 107,551.08 × 30,138
  4. Step 4: Simplify right side
    71,691x = 3,241,374,449.04
  5. Step 5: Solve for x
    x = 3,241,374,449.04/71,691
  6. Step 6: Final answer
    x = 45,213.13

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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.