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Finding the Fourth Proportional to 144,892, 217,358.28 and 136,924

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Solution

The fourth proportional to 144,892, 217,358.28 and 136,924 is: 205,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892 : 217,358.28 = 136,924 : x
  2. Step 2: Convert to fraction form
    144,892/217,358.28 = 136,924/x
  3. Step 3: Cross multiply
    144,892x = 217,358.28 × 136,924
  4. Step 4: Simplify right side
    144,892x = 29,761,565,130.72
  5. Step 5: Solve for x
    x = 29,761,565,130.72/144,892
  6. Step 6: Final answer
    x = 205,405.16

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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.