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Finding the Fourth Proportional to 203,458.52, 280,776.12 and 112,818.30

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Solution

The fourth proportional to 203,458.52, 280,776.12 and 112,818.30 is: 155,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,458.52 : 280,776.12 = 112,818.30 : x
  2. Step 2: Convert to fraction form
    203,458.52/280,776.12 = 112,818.30/x
  3. Step 3: Cross multiply
    203,458.52x = 280,776.12 × 112,818.30
  4. Step 4: Simplify right side
    203,458.52x = 31,676,685,276.99
  5. Step 5: Solve for x
    x = 31,676,685,276.99/203,458.52
  6. Step 6: Final answer
    x = 155,691.12

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1.5x scale

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.