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Finding the Fourth Proportional to 203,633.78, 281,010.32 and 112,987.80

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Solution

The fourth proportional to 203,633.78, 281,010.32 and 112,987.80 is: 155,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,633.78 : 281,010.32 = 112,987.80 : x
  2. Step 2: Convert to fraction form
    203,633.78/281,010.32 = 112,987.80/x
  3. Step 3: Cross multiply
    203,633.78x = 281,010.32 × 112,987.80
  4. Step 4: Simplify right side
    203,633.78x = 31,750,737,834.10
  5. Step 5: Solve for x
    x = 31,750,737,834.10/203,633.78
  6. Step 6: Final answer
    x = 155,920.78

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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.