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Finding the Fourth Proportional to 99,507.87, 137,320.92 and 54,795.87

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Solution

The fourth proportional to 99,507.87, 137,320.92 and 54,795.87 is: 75,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,507.87 : 137,320.92 = 54,795.87 : x
  2. Step 2: Convert to fraction form
    99,507.87/137,320.92 = 54,795.87/x
  3. Step 3: Cross multiply
    99,507.87x = 137,320.92 × 54,795.87
  4. Step 4: Simplify right side
    99,507.87x = 7,524,619,280.60
  5. Step 5: Solve for x
    x = 7,524,619,280.60/99,507.87
  6. Step 6: Final answer
    x = 75,618.33

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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.