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Finding the Fourth Proportional to 149,673.75, 224,391.41 and 86,422.15

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Solution

The fourth proportional to 149,673.75, 224,391.41 and 86,422.15 is: 129,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673.75 : 224,391.41 = 86,422.15 : x
  2. Step 2: Convert to fraction form
    149,673.75/224,391.41 = 86,422.15/x
  3. Step 3: Cross multiply
    149,673.75x = 224,391.41 × 86,422.15
  4. Step 4: Simplify right side
    149,673.75x = 19,392,387,100.64
  5. Step 5: Solve for x
    x = 19,392,387,100.64/149,673.75
  6. Step 6: Final answer
    x = 129,564.38

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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.