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Finding the Fourth Proportional to 123,446.32, 184,853.12 and 85,442.88

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Solution

The fourth proportional to 123,446.32, 184,853.12 and 85,442.88 is: 127,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,446.32 : 184,853.12 = 85,442.88 : x
  2. Step 2: Convert to fraction form
    123,446.32/184,853.12 = 85,442.88/x
  3. Step 3: Cross multiply
    123,446.32x = 184,853.12 × 85,442.88
  4. Step 4: Simplify right side
    123,446.32x = 15,794,382,949.79
  5. Step 5: Solve for x
    x = 15,794,382,949.79/123,446.32
  6. Step 6: Final answer
    x = 127,945.35

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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.