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Finding the Fourth Proportional to 171,822, 257,469.90 and 71,927.76

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Solution

The fourth proportional to 171,822, 257,469.90 and 71,927.76 is: 107,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,822 : 257,469.90 = 71,927.76 : x
  2. Step 2: Convert to fraction form
    171,822/257,469.90 = 71,927.76/x
  3. Step 3: Cross multiply
    171,822x = 257,469.90 × 71,927.76
  4. Step 4: Simplify right side
    171,822x = 18,519,233,174.42
  5. Step 5: Solve for x
    x = 18,519,233,174.42/171,822
  6. Step 6: Final answer
    x = 107,781.50

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1.5x scale

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.