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Finding the Fourth Proportional to 70,440.68, 97,211.40 and 38,612

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Solution

The fourth proportional to 70,440.68, 97,211.40 and 38,612 is: 53,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,440.68 : 97,211.40 = 38,612 : x
  2. Step 2: Convert to fraction form
    70,440.68/97,211.40 = 38,612/x
  3. Step 3: Cross multiply
    70,440.68x = 97,211.40 × 38,612
  4. Step 4: Simplify right side
    70,440.68x = 3,753,526,576.80
  5. Step 5: Solve for x
    x = 3,753,526,576.80/70,440.68
  6. Step 6: Final answer
    x = 53,286.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.