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Finding the Fourth Proportional to 142,681, 196,899.36 and 82,251.31

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Solution

The fourth proportional to 142,681, 196,899.36 and 82,251.31 is: 113,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,681 : 196,899.36 = 82,251.31 : x
  2. Step 2: Convert to fraction form
    142,681/196,899.36 = 82,251.31/x
  3. Step 3: Cross multiply
    142,681x = 196,899.36 × 82,251.31
  4. Step 4: Simplify right side
    142,681x = 16,195,230,298.16
  5. Step 5: Solve for x
    x = 16,195,230,298.16/142,681
  6. Step 6: Final answer
    x = 113,506.57

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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.