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Finding the Fourth Proportional to 281,587.72, 422,382.98 and 71,225.86

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Solution

The fourth proportional to 281,587.72, 422,382.98 and 71,225.86 is: 106,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,587.72 : 422,382.98 = 71,225.86 : x
  2. Step 2: Convert to fraction form
    281,587.72/422,382.98 = 71,225.86/x
  3. Step 3: Cross multiply
    281,587.72x = 422,382.98 × 71,225.86
  4. Step 4: Simplify right side
    281,587.72x = 30,084,590,999.86
  5. Step 5: Solve for x
    x = 30,084,590,999.86/281,587.72
  6. Step 6: Final answer
    x = 106,839.14

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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.