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Finding the Fourth Proportional to 171,470.10, 257,205.15 and 100,611.30

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Solution

The fourth proportional to 171,470.10, 257,205.15 and 100,611.30 is: 150,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,470.10 : 257,205.15 = 100,611.30 : x
  2. Step 2: Convert to fraction form
    171,470.10/257,205.15 = 100,611.30/x
  3. Step 3: Cross multiply
    171,470.10x = 257,205.15 × 100,611.30
  4. Step 4: Simplify right side
    171,470.10x = 25,877,744,508.20
  5. Step 5: Solve for x
    x = 25,877,744,508.20/171,470.10
  6. Step 6: Final answer
    x = 150,916.95

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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.