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Finding the Fourth Proportional to 144,857.70, 217,286.55 and 109,865.70

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Solution

The fourth proportional to 144,857.70, 217,286.55 and 109,865.70 is: 164,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857.70 : 217,286.55 = 109,865.70 : x
  2. Step 2: Convert to fraction form
    144,857.70/217,286.55 = 109,865.70/x
  3. Step 3: Cross multiply
    144,857.70x = 217,286.55 × 109,865.70
  4. Step 4: Simplify right side
    144,857.70x = 23,872,338,916.34
  5. Step 5: Solve for x
    x = 23,872,338,916.34/144,857.70
  6. Step 6: Final answer
    x = 164,798.55

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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.