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Finding the Fourth Proportional to 281,667, 422,526.54 and 92,128.44

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Solution

The fourth proportional to 281,667, 422,526.54 and 92,128.44 is: 138,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,667 : 422,526.54 = 92,128.44 : x
  2. Step 2: Convert to fraction form
    281,667/422,526.54 = 92,128.44/x
  3. Step 3: Cross multiply
    281,667x = 422,526.54 × 92,128.44
  4. Step 4: Simplify right side
    281,667x = 38,926,710,988.80
  5. Step 5: Solve for x
    x = 38,926,710,988.80/281,667
  6. Step 6: Final answer
    x = 138,201.18

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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.