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Finding the Fourth Proportional to 203,506.74, 280,856.56 and 112,891.90

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Solution

The fourth proportional to 203,506.74, 280,856.56 and 112,891.90 is: 155,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.74 : 280,856.56 = 112,891.90 : x
  2. Step 2: Convert to fraction form
    203,506.74/280,856.56 = 112,891.90/x
  3. Step 3: Cross multiply
    203,506.74x = 280,856.56 × 112,891.90
  4. Step 4: Simplify right side
    203,506.74x = 31,706,430,966.38
  5. Step 5: Solve for x
    x = 31,706,430,966.38/203,506.74
  6. Step 6: Final answer
    x = 155,800.39

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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.