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Finding the Fourth Proportional to 281,587.58, 422,382.80 and 71,225.72

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Solution

The fourth proportional to 281,587.58, 422,382.80 and 71,225.72 is: 106,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,587.58 : 422,382.80 = 71,225.72 : x
  2. Step 2: Convert to fraction form
    281,587.58/422,382.80 = 71,225.72/x
  3. Step 3: Cross multiply
    281,587.58x = 422,382.80 × 71,225.72
  4. Step 4: Simplify right side
    281,587.58x = 30,084,520,279.64
  5. Step 5: Solve for x
    x = 30,084,520,279.64/281,587.58
  6. Step 6: Final answer
    x = 106,838.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.