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Finding the Fourth Proportional to 171,658.31, 257,438.25 and 51,726.87

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Solution

The fourth proportional to 171,658.31, 257,438.25 and 51,726.87 is: 77,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,658.31 : 257,438.25 = 51,726.87 : x
  2. Step 2: Convert to fraction form
    171,658.31/257,438.25 = 51,726.87/x
  3. Step 3: Cross multiply
    171,658.31x = 257,438.25 × 51,726.87
  4. Step 4: Simplify right side
    171,658.31x = 13,316,474,890.78
  5. Step 5: Solve for x
    x = 13,316,474,890.78/171,658.31
  6. Step 6: Final answer
    x = 77,575.48

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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.