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Finding the Fourth Proportional to 203,458.80, 280,776.51 and 112,818.59

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Solution

The fourth proportional to 203,458.80, 280,776.51 and 112,818.59 is: 155,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,458.80 : 280,776.51 = 112,818.59 : x
  2. Step 2: Convert to fraction form
    203,458.80/280,776.51 = 112,818.59/x
  3. Step 3: Cross multiply
    203,458.80x = 280,776.51 × 112,818.59
  4. Step 4: Simplify right side
    203,458.80x = 31,676,809,612.35
  5. Step 5: Solve for x
    x = 31,676,809,612.35/203,458.80
  6. Step 6: Final answer
    x = 155,691.52

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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.