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Finding the Fourth Proportional to 99,535.70, 137,359.24 and 54,823.70

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Solution

The fourth proportional to 99,535.70, 137,359.24 and 54,823.70 is: 75,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535.70 : 137,359.24 = 54,823.70 : x
  2. Step 2: Convert to fraction form
    99,535.70/137,359.24 = 54,823.70/x
  3. Step 3: Cross multiply
    99,535.70x = 137,359.24 × 54,823.70
  4. Step 4: Simplify right side
    99,535.70x = 7,530,541,765.99
  5. Step 5: Solve for x
    x = 7,530,541,765.99/99,535.70
  6. Step 6: Final answer
    x = 75,656.69

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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.