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Finding the Fourth Proportional to 144,869.78, 217,367.10 and 78,356.74

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Solution

The fourth proportional to 144,869.78, 217,367.10 and 78,356.74 is: 117,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,869.78 : 217,367.10 = 78,356.74 : x
  2. Step 2: Convert to fraction form
    144,869.78/217,367.10 = 78,356.74/x
  3. Step 3: Cross multiply
    144,869.78x = 217,367.10 × 78,356.74
  4. Step 4: Simplify right side
    144,869.78x = 17,032,177,339.25
  5. Step 5: Solve for x
    x = 17,032,177,339.25/144,869.78
  6. Step 6: Final answer
    x = 117,568.88

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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.