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Finding the Fourth Proportional to 71,498.46, 98,669.70 and 39,234.46

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Solution

The fourth proportional to 71,498.46, 98,669.70 and 39,234.46 is: 54,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498.46 : 98,669.70 = 39,234.46 : x
  2. Step 2: Convert to fraction form
    71,498.46/98,669.70 = 39,234.46/x
  3. Step 3: Cross multiply
    71,498.46x = 98,669.70 × 39,234.46
  4. Step 4: Simplify right side
    71,498.46x = 3,871,252,397.86
  5. Step 5: Solve for x
    x = 3,871,252,397.86/71,498.46
  6. Step 6: Final answer
    x = 54,144.56

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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.