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Finding the Fourth Proportional to 281,712, 422,478.78 and 92,128.56

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Solution

The fourth proportional to 281,712, 422,478.78 and 92,128.56 is: 138,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,712 : 422,478.78 = 92,128.56 : x
  2. Step 2: Convert to fraction form
    281,712/422,478.78 = 92,128.56/x
  3. Step 3: Cross multiply
    281,712x = 422,478.78 × 92,128.56
  4. Step 4: Simplify right side
    281,712x = 38,922,361,631.96
  5. Step 5: Solve for x
    x = 38,922,361,631.96/281,712
  6. Step 6: Final answer
    x = 138,163.66

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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.