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Finding the Fourth Proportional to 180,965.43, 271,271.70 and 86,170.19

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Solution

The fourth proportional to 180,965.43, 271,271.70 and 86,170.19 is: 129,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965.43 : 271,271.70 = 86,170.19 : x
  2. Step 2: Convert to fraction form
    180,965.43/271,271.70 = 86,170.19/x
  3. Step 3: Cross multiply
    180,965.43x = 271,271.70 × 86,170.19
  4. Step 4: Simplify right side
    180,965.43x = 23,375,532,574.26
  5. Step 5: Solve for x
    x = 23,375,532,574.26/180,965.43
  6. Step 6: Final answer
    x = 129,171.26

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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.