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Finding the Fourth Proportional to 203,498.55, 280,842.30 and 112,863.15

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Solution

The fourth proportional to 203,498.55, 280,842.30 and 112,863.15 is: 155,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.55 : 280,842.30 = 112,863.15 : x
  2. Step 2: Convert to fraction form
    203,498.55/280,842.30 = 112,863.15/x
  3. Step 3: Cross multiply
    203,498.55x = 280,842.30 × 112,863.15
  4. Step 4: Simplify right side
    203,498.55x = 31,696,746,631.25
  5. Step 5: Solve for x
    x = 31,696,746,631.25/203,498.55
  6. Step 6: Final answer
    x = 155,759.08

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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.