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Finding the Fourth Proportional to 111,641.31, 167,087.70 and 91,649.70

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Solution

The fourth proportional to 111,641.31, 167,087.70 and 91,649.70 is: 137,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,641.31 : 167,087.70 = 91,649.70 : x
  2. Step 2: Convert to fraction form
    111,641.31/167,087.70 = 91,649.70/x
  3. Step 3: Cross multiply
    111,641.31x = 167,087.70 × 91,649.70
  4. Step 4: Simplify right side
    111,641.31x = 15,313,537,578.69
  5. Step 5: Solve for x
    x = 15,313,537,578.69/111,641.31
  6. Step 6: Final answer
    x = 137,167.30

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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.