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Finding the Fourth Proportional to 99,543, 137,369.34 and 54,831

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Solution

The fourth proportional to 99,543, 137,369.34 and 54,831 is: 75,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543 : 137,369.34 = 54,831 : x
  2. Step 2: Convert to fraction form
    99,543/137,369.34 = 54,831/x
  3. Step 3: Cross multiply
    99,543x = 137,369.34 × 54,831
  4. Step 4: Simplify right side
    99,543x = 7,532,098,281.54
  5. Step 5: Solve for x
    x = 7,532,098,281.54/99,543
  6. Step 6: Final answer
    x = 75,666.78

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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.