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Finding the Fourth Proportional to 171,024.40, 256,099.20 and 126,409.60

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Solution

The fourth proportional to 171,024.40, 256,099.20 and 126,409.60 is: 189,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024.40 : 256,099.20 = 126,409.60 : x
  2. Step 2: Convert to fraction form
    171,024.40/256,099.20 = 126,409.60/x
  3. Step 3: Cross multiply
    171,024.40x = 256,099.20 × 126,409.60
  4. Step 4: Simplify right side
    171,024.40x = 32,373,397,432.32
  5. Step 5: Solve for x
    x = 32,373,397,432.32/171,024.40
  6. Step 6: Final answer
    x = 189,291.10

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1.5x scale

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.