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Finding the Fourth Proportional to 197,872, 296,609.30 and 98,104.70

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Solution

The fourth proportional to 197,872, 296,609.30 and 98,104.70 is: 147,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,872 : 296,609.30 = 98,104.70 : x
  2. Step 2: Convert to fraction form
    197,872/296,609.30 = 98,104.70/x
  3. Step 3: Cross multiply
    197,872x = 296,609.30 × 98,104.70
  4. Step 4: Simplify right side
    197,872x = 29,098,766,393.71
  5. Step 5: Solve for x
    x = 29,098,766,393.71/197,872
  6. Step 6: Final answer
    x = 147,058.53

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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.