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Finding the Fourth Proportional to 98,642.57, 148,046.49 and 51,286.73

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Solution

The fourth proportional to 98,642.57, 148,046.49 and 51,286.73 is: 76,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642.57 : 148,046.49 = 51,286.73 : x
  2. Step 2: Convert to fraction form
    98,642.57/148,046.49 = 51,286.73/x
  3. Step 3: Cross multiply
    98,642.57x = 148,046.49 × 51,286.73
  4. Step 4: Simplify right side
    98,642.57x = 7,592,819,619.85
  5. Step 5: Solve for x
    x = 7,592,819,619.85/98,642.57
  6. Step 6: Final answer
    x = 76,973.06

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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.