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Finding the Fourth Proportional to 172,511.10, 258,766.65 and 54,194.40

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Solution

The fourth proportional to 172,511.10, 258,766.65 and 54,194.40 is: 81,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,511.10 : 258,766.65 = 54,194.40 : x
  2. Step 2: Convert to fraction form
    172,511.10/258,766.65 = 54,194.40/x
  3. Step 3: Cross multiply
    172,511.10x = 258,766.65 × 54,194.40
  4. Step 4: Simplify right side
    172,511.10x = 14,023,703,336.76
  5. Step 5: Solve for x
    x = 14,023,703,336.76/172,511.10
  6. Step 6: Final answer
    x = 81,291.60

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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.