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Finding the Fourth Proportional to 171,031.40, 256,109.70 and 126,416.60

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Solution

The fourth proportional to 171,031.40, 256,109.70 and 126,416.60 is: 189,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,031.40 : 256,109.70 = 126,416.60 : x
  2. Step 2: Convert to fraction form
    171,031.40/256,109.70 = 126,416.60/x
  3. Step 3: Cross multiply
    171,031.40x = 256,109.70 × 126,416.60
  4. Step 4: Simplify right side
    171,031.40x = 32,376,517,501.02
  5. Step 5: Solve for x
    x = 32,376,517,501.02/171,031.40
  6. Step 6: Final answer
    x = 189,301.60

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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.