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Finding the Fourth Proportional to 281,301.16, 421,906.26 and 103,891.72

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Solution

The fourth proportional to 281,301.16, 421,906.26 and 103,891.72 is: 155,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,301.16 : 421,906.26 = 103,891.72 : x
  2. Step 2: Convert to fraction form
    281,301.16/421,906.26 = 103,891.72/x
  3. Step 3: Cross multiply
    281,301.16x = 421,906.26 × 103,891.72
  4. Step 4: Simplify right side
    281,301.16x = 43,832,567,030.17
  5. Step 5: Solve for x
    x = 43,832,567,030.17/281,301.16
  6. Step 6: Final answer
    x = 155,820.78

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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.