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Finding the Fourth Proportional to 99,753.67, 137,663.39 and 54,434.14

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Solution

The fourth proportional to 99,753.67, 137,663.39 and 54,434.14 is: 75,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,753.67 : 137,663.39 = 54,434.14 : x
  2. Step 2: Convert to fraction form
    99,753.67/137,663.39 = 54,434.14/x
  3. Step 3: Cross multiply
    99,753.67x = 137,663.39 × 54,434.14
  4. Step 4: Simplify right side
    99,753.67x = 7,493,588,504.23
  5. Step 5: Solve for x
    x = 7,493,588,504.23/99,753.67
  6. Step 6: Final answer
    x = 75,120.93

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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.