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Finding the Fourth Proportional to 131,142, 196,713.72 and 32,646

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Solution

The fourth proportional to 131,142, 196,713.72 and 32,646 is: 48,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,142 : 196,713.72 = 32,646 : x
  2. Step 2: Convert to fraction form
    131,142/196,713.72 = 32,646/x
  3. Step 3: Cross multiply
    131,142x = 196,713.72 × 32,646
  4. Step 4: Simplify right side
    131,142x = 6,421,916,103.12
  5. Step 5: Solve for x
    x = 6,421,916,103.12/131,142
  6. Step 6: Final answer
    x = 48,969.18

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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.