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Finding the Fourth Proportional to 99,660.48, 137,446.86 and 84,213.78

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Solution

The fourth proportional to 99,660.48, 137,446.86 and 84,213.78 is: 116,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,660.48 : 137,446.86 = 84,213.78 : x
  2. Step 2: Convert to fraction form
    99,660.48/137,446.86 = 84,213.78/x
  3. Step 3: Cross multiply
    99,660.48x = 137,446.86 × 84,213.78
  4. Step 4: Simplify right side
    99,660.48x = 11,574,919,629.73
  5. Step 5: Solve for x
    x = 11,574,919,629.73/99,660.48
  6. Step 6: Final answer
    x = 116,143.53

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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.