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Finding the Fourth Proportional to 144,884, 217,346.28 and 136,916

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Solution

The fourth proportional to 144,884, 217,346.28 and 136,916 is: 205,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884 : 217,346.28 = 136,916 : x
  2. Step 2: Convert to fraction form
    144,884/217,346.28 = 136,916/x
  3. Step 3: Cross multiply
    144,884x = 217,346.28 × 136,916
  4. Step 4: Simplify right side
    144,884x = 29,758,183,272.48
  5. Step 5: Solve for x
    x = 29,758,183,272.48/144,884
  6. Step 6: Final answer
    x = 205,393.16

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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.