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Finding the Fourth Proportional to 87,049.98, 130,400.01 and 45,409.50

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Solution

The fourth proportional to 87,049.98, 130,400.01 and 45,409.50 is: 68,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,049.98 : 130,400.01 = 45,409.50 : x
  2. Step 2: Convert to fraction form
    87,049.98/130,400.01 = 45,409.50/x
  3. Step 3: Cross multiply
    87,049.98x = 130,400.01 × 45,409.50
  4. Step 4: Simplify right side
    87,049.98x = 5,921,399,254.10
  5. Step 5: Solve for x
    x = 5,921,399,254.10/87,049.98
  6. Step 6: Final answer
    x = 68,022.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.