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Finding the Fourth Proportional to 144,969.80, 217,454.70 and 91,825.70

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Solution

The fourth proportional to 144,969.80, 217,454.70 and 91,825.70 is: 137,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969.80 : 217,454.70 = 91,825.70 : x
  2. Step 2: Convert to fraction form
    144,969.80/217,454.70 = 91,825.70/x
  3. Step 3: Cross multiply
    144,969.80x = 217,454.70 × 91,825.70
  4. Step 4: Simplify right side
    144,969.80x = 19,967,930,045.79
  5. Step 5: Solve for x
    x = 19,967,930,045.79/144,969.80
  6. Step 6: Final answer
    x = 137,738.55

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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.