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Finding the Fourth Proportional to 281,702.72, 422,554.80 and 71,340.68

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Solution

The fourth proportional to 281,702.72, 422,554.80 and 71,340.68 is: 107,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,702.72 : 422,554.80 = 71,340.68 : x
  2. Step 2: Convert to fraction form
    281,702.72/422,554.80 = 71,340.68/x
  3. Step 3: Cross multiply
    281,702.72x = 422,554.80 × 71,340.68
  4. Step 4: Simplify right side
    281,702.72x = 30,145,346,769.26
  5. Step 5: Solve for x
    x = 30,145,346,769.26/281,702.72
  6. Step 6: Final answer
    x = 107,011.20

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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.