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Finding the Fourth Proportional to 203,065.26, 280,220.97 and 112,414.86

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Solution

The fourth proportional to 203,065.26, 280,220.97 and 112,414.86 is: 155,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065.26 : 280,220.97 = 112,414.86 : x
  2. Step 2: Convert to fraction form
    203,065.26/280,220.97 = 112,414.86/x
  3. Step 3: Cross multiply
    203,065.26x = 280,220.97 × 112,414.86
  4. Step 4: Simplify right side
    203,065.26x = 31,501,001,111.61
  5. Step 5: Solve for x
    x = 31,501,001,111.61/203,065.26
  6. Step 6: Final answer
    x = 155,127.48

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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.