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Finding the Fourth Proportional to 281,233.69, 421,763.61 and 81,568.75

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Solution

The fourth proportional to 281,233.69, 421,763.61 and 81,568.75 is: 122,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,233.69 : 421,763.61 = 81,568.75 : x
  2. Step 2: Convert to fraction form
    281,233.69/421,763.61 = 81,568.75/x
  3. Step 3: Cross multiply
    281,233.69x = 421,763.61 × 81,568.75
  4. Step 4: Simplify right side
    281,233.69x = 34,402,730,463.19
  5. Step 5: Solve for x
    x = 34,402,730,463.19/281,233.69
  6. Step 6: Final answer
    x = 122,327.91

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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.