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Finding the Fourth Proportional to 99,708.65, 137,648.67 and 76,996.65

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Solution

The fourth proportional to 99,708.65, 137,648.67 and 76,996.65 is: 106,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708.65 : 137,648.67 = 76,996.65 : x
  2. Step 2: Convert to fraction form
    99,708.65/137,648.67 = 76,996.65/x
  3. Step 3: Cross multiply
    99,708.65x = 137,648.67 × 76,996.65
  4. Step 4: Simplify right side
    99,708.65x = 10,598,486,466.96
  5. Step 5: Solve for x
    x = 10,598,486,466.96/99,708.65
  6. Step 6: Final answer
    x = 106,294.56

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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.