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Finding the Fourth Proportional to 172,420.59, 258,463.15 and 82,439.92

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Solution

The fourth proportional to 172,420.59, 258,463.15 and 82,439.92 is: 123,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,420.59 : 258,463.15 = 82,439.92 : x
  2. Step 2: Convert to fraction form
    172,420.59/258,463.15 = 82,439.92/x
  3. Step 3: Cross multiply
    172,420.59x = 258,463.15 × 82,439.92
  4. Step 4: Simplify right side
    172,420.59x = 21,307,681,408.95
  5. Step 5: Solve for x
    x = 21,307,681,408.95/172,420.59
  6. Step 6: Final answer
    x = 123,579.68

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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.