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Finding the Fourth Proportional to 139,524.64, 192,542.64 and 75,862.44

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Solution

The fourth proportional to 139,524.64, 192,542.64 and 75,862.44 is: 104,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,524.64 : 192,542.64 = 75,862.44 : x
  2. Step 2: Convert to fraction form
    139,524.64/192,542.64 = 75,862.44/x
  3. Step 3: Cross multiply
    139,524.64x = 192,542.64 × 75,862.44
  4. Step 4: Simplify right side
    139,524.64x = 14,606,754,474.44
  5. Step 5: Solve for x
    x = 14,606,754,474.44/139,524.64
  6. Step 6: Final answer
    x = 104,689.43

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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.