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Finding the Fourth Proportional to 171,521, 257,235 and 71,660.30

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Solution

The fourth proportional to 171,521, 257,235 and 71,660.30 is: 107,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,521 : 257,235 = 71,660.30 : x
  2. Step 2: Convert to fraction form
    171,521/257,235 = 71,660.30/x
  3. Step 3: Cross multiply
    171,521x = 257,235 × 71,660.30
  4. Step 4: Simplify right side
    171,521x = 18,433,537,270.50
  5. Step 5: Solve for x
    x = 18,433,537,270.50/171,521
  6. Step 6: Final answer
    x = 107,471.02

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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.