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Finding the Fourth Proportional to 180,442.12, 270,484.68 and 85,505.56

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Solution

The fourth proportional to 180,442.12, 270,484.68 and 85,505.56 is: 128,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,442.12 : 270,484.68 = 85,505.56 : x
  2. Step 2: Convert to fraction form
    180,442.12/270,484.68 = 85,505.56/x
  3. Step 3: Cross multiply
    180,442.12x = 270,484.68 × 85,505.56
  4. Step 4: Simplify right side
    180,442.12x = 23,127,944,034.82
  5. Step 5: Solve for x
    x = 23,127,944,034.82/180,442.12
  6. Step 6: Final answer
    x = 128,173.75

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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.