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Finding the Fourth Proportional to 203,044.32, 280,195.08 and 112,404

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Solution

The fourth proportional to 203,044.32, 280,195.08 and 112,404 is: 155,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,044.32 : 280,195.08 = 112,404 : x
  2. Step 2: Convert to fraction form
    203,044.32/280,195.08 = 112,404/x
  3. Step 3: Cross multiply
    203,044.32x = 280,195.08 × 112,404
  4. Step 4: Simplify right side
    203,044.32x = 31,495,047,772.32
  5. Step 5: Solve for x
    x = 31,495,047,772.32/203,044.32
  6. Step 6: Final answer
    x = 155,114.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.