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Finding the Fourth Proportional to 142,373.70, 196,514.10 and 81,963.90

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Solution

The fourth proportional to 142,373.70, 196,514.10 and 81,963.90 is: 113,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,373.70 : 196,514.10 = 81,963.90 : x
  2. Step 2: Convert to fraction form
    142,373.70/196,514.10 = 81,963.90/x
  3. Step 3: Cross multiply
    142,373.70x = 196,514.10 × 81,963.90
  4. Step 4: Simplify right side
    142,373.70x = 16,107,062,040.99
  5. Step 5: Solve for x
    x = 16,107,062,040.99/142,373.70
  6. Step 6: Final answer
    x = 113,132.29

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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.