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Finding the Fourth Proportional to 98,020.38, 146,984.49 and 68,471.58

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Solution

The fourth proportional to 98,020.38, 146,984.49 and 68,471.58 is: 102,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020.38 : 146,984.49 = 68,471.58 : x
  2. Step 2: Convert to fraction form
    98,020.38/146,984.49 = 68,471.58/x
  3. Step 3: Cross multiply
    98,020.38x = 146,984.49 × 68,471.58
  4. Step 4: Simplify right side
    98,020.38x = 10,064,260,265.79
  5. Step 5: Solve for x
    x = 10,064,260,265.79/98,020.38
  6. Step 6: Final answer
    x = 102,675.18

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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.