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Finding the Fourth Proportional to 180,407.32, 270,605.38 and 85,705.66

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Solution

The fourth proportional to 180,407.32, 270,605.38 and 85,705.66 is: 128,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.32 : 270,605.38 = 85,705.66 : x
  2. Step 2: Convert to fraction form
    180,407.32/270,605.38 = 85,705.66/x
  3. Step 3: Cross multiply
    180,407.32x = 270,605.38 × 85,705.66
  4. Step 4: Simplify right side
    180,407.32x = 23,192,412,692.45
  5. Step 5: Solve for x
    x = 23,192,412,692.45/180,407.32
  6. Step 6: Final answer
    x = 128,555.83

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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.