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Finding the Fourth Proportional to 168,040.71, 231,823.32 and 100,019.54

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Solution

The fourth proportional to 168,040.71, 231,823.32 and 100,019.54 is: 137,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,040.71 : 231,823.32 = 100,019.54 : x
  2. Step 2: Convert to fraction form
    168,040.71/231,823.32 = 100,019.54/x
  3. Step 3: Cross multiply
    168,040.71x = 231,823.32 × 100,019.54
  4. Step 4: Simplify right side
    168,040.71x = 23,186,862,407.23
  5. Step 5: Solve for x
    x = 23,186,862,407.23/168,040.71
  6. Step 6: Final answer
    x = 137,983.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.