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Finding the Fourth Proportional to 180,505.16, 270,764.01 and 85,686.49

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Solution

The fourth proportional to 180,505.16, 270,764.01 and 85,686.49 is: 128,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,505.16 : 270,764.01 = 85,686.49 : x
  2. Step 2: Convert to fraction form
    180,505.16/270,764.01 = 85,686.49/x
  3. Step 3: Cross multiply
    180,505.16x = 270,764.01 × 85,686.49
  4. Step 4: Simplify right side
    180,505.16x = 23,200,817,613.41
  5. Step 5: Solve for x
    x = 23,200,817,613.41/180,505.16
  6. Step 6: Final answer
    x = 128,532.71

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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.