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Finding the Fourth Proportional to 99,898.32, 137,862.36 and 54,578.22

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Solution

The fourth proportional to 99,898.32, 137,862.36 and 54,578.22 is: 75,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,898.32 : 137,862.36 = 54,578.22 : x
  2. Step 2: Convert to fraction form
    99,898.32/137,862.36 = 54,578.22/x
  3. Step 3: Cross multiply
    99,898.32x = 137,862.36 × 54,578.22
  4. Step 4: Simplify right side
    99,898.32x = 7,524,282,213.80
  5. Step 5: Solve for x
    x = 7,524,282,213.80/99,898.32
  6. Step 6: Final answer
    x = 75,319.41

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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.