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Finding the Fourth Proportional to 230,397.09, 345,324.13 and 103,889.22

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Solution

The fourth proportional to 230,397.09, 345,324.13 and 103,889.22 is: 155,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,397.09 : 345,324.13 = 103,889.22 : x
  2. Step 2: Convert to fraction form
    230,397.09/345,324.13 = 103,889.22/x
  3. Step 3: Cross multiply
    230,397.09x = 345,324.13 × 103,889.22
  4. Step 4: Simplify right side
    230,397.09x = 35,875,454,634.17
  5. Step 5: Solve for x
    x = 35,875,454,634.17/230,397.09
  6. Step 6: Final answer
    x = 155,711.41

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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.