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Finding the Fourth Proportional to 171,438.95, 257,182.53 and 71,576.42

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Solution

The fourth proportional to 171,438.95, 257,182.53 and 71,576.42 is: 107,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438.95 : 257,182.53 = 71,576.42 : x
  2. Step 2: Convert to fraction form
    171,438.95/257,182.53 = 71,576.42/x
  3. Step 3: Cross multiply
    171,438.95x = 257,182.53 × 71,576.42
  4. Step 4: Simplify right side
    171,438.95x = 18,408,205,426.90
  5. Step 5: Solve for x
    x = 18,408,205,426.90/171,438.95
  6. Step 6: Final answer
    x = 107,374.70

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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.