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Finding the Fourth Proportional to 99,889.50, 137,847.51 and 55,177.50

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Solution

The fourth proportional to 99,889.50, 137,847.51 and 55,177.50 is: 76,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.50 : 137,847.51 = 55,177.50 : x
  2. Step 2: Convert to fraction form
    99,889.50/137,847.51 = 55,177.50/x
  3. Step 3: Cross multiply
    99,889.50x = 137,847.51 × 55,177.50
  4. Step 4: Simplify right side
    99,889.50x = 7,606,080,983.03
  5. Step 5: Solve for x
    x = 7,606,080,983.03/99,889.50
  6. Step 6: Final answer
    x = 76,144.95

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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.