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Finding the Fourth Proportional to 154,816, 213,691.68 and 101,109.28

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Solution

The fourth proportional to 154,816, 213,691.68 and 101,109.28 is: 139,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,816 : 213,691.68 = 101,109.28 : x
  2. Step 2: Convert to fraction form
    154,816/213,691.68 = 101,109.28/x
  3. Step 3: Cross multiply
    154,816x = 213,691.68 × 101,109.28
  4. Step 4: Simplify right side
    154,816x = 21,606,211,906.79
  5. Step 5: Solve for x
    x = 21,606,211,906.79/154,816
  6. Step 6: Final answer
    x = 139,560.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.