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Finding the Fourth Proportional to 171,408.72, 257,210.28 and 92,521.20

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Solution

The fourth proportional to 171,408.72, 257,210.28 and 92,521.20 is: 138,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408.72 : 257,210.28 = 92,521.20 : x
  2. Step 2: Convert to fraction form
    171,408.72/257,210.28 = 92,521.20/x
  3. Step 3: Cross multiply
    171,408.72x = 257,210.28 × 92,521.20
  4. Step 4: Simplify right side
    171,408.72x = 23,797,403,757.94
  5. Step 5: Solve for x
    x = 23,797,403,757.94/171,408.72
  6. Step 6: Final answer
    x = 138,834.27

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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.