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Finding the Fourth Proportional to 99,750, 137,657.88 and 55,040.88

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Solution

The fourth proportional to 99,750, 137,657.88 and 55,040.88 is: 75,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 137,657.88 = 55,040.88 : x
  2. Step 2: Convert to fraction form
    99,750/137,657.88 = 55,040.88/x
  3. Step 3: Cross multiply
    99,750x = 137,657.88 × 55,040.88
  4. Step 4: Simplify right side
    99,750x = 7,576,810,854.13
  5. Step 5: Solve for x
    x = 7,576,810,854.13/99,750
  6. Step 6: Final answer
    x = 75,958.00

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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.