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Finding the Fourth Proportional to 171,026.40, 256,102.20 and 126,411.60

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Solution

The fourth proportional to 171,026.40, 256,102.20 and 126,411.60 is: 189,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,026.40 : 256,102.20 = 126,411.60 : x
  2. Step 2: Convert to fraction form
    171,026.40/256,102.20 = 126,411.60/x
  3. Step 3: Cross multiply
    171,026.40x = 256,102.20 × 126,411.60
  4. Step 4: Simplify right side
    171,026.40x = 32,374,288,865.52
  5. Step 5: Solve for x
    x = 32,374,288,865.52/171,026.40
  6. Step 6: Final answer
    x = 189,294.10

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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.