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Finding the Fourth Proportional to 281,664.72, 422,497.80 and 71,302.68

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Solution

The fourth proportional to 281,664.72, 422,497.80 and 71,302.68 is: 106,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664.72 : 422,497.80 = 71,302.68 : x
  2. Step 2: Convert to fraction form
    281,664.72/422,497.80 = 71,302.68/x
  3. Step 3: Cross multiply
    281,664.72x = 422,497.80 × 71,302.68
  4. Step 4: Simplify right side
    281,664.72x = 30,125,225,434.10
  5. Step 5: Solve for x
    x = 30,125,225,434.10/281,664.72
  6. Step 6: Final answer
    x = 106,954.20

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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.