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Finding the Fourth Proportional to 154,204.49, 212,860.92 and 100,502.57

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Solution

The fourth proportional to 154,204.49, 212,860.92 and 100,502.57 is: 138,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,204.49 : 212,860.92 = 100,502.57 : x
  2. Step 2: Convert to fraction form
    154,204.49/212,860.92 = 100,502.57/x
  3. Step 3: Cross multiply
    154,204.49x = 212,860.92 × 100,502.57
  4. Step 4: Simplify right side
    154,204.49x = 21,393,067,945.75
  5. Step 5: Solve for x
    x = 21,393,067,945.75/154,204.49
  6. Step 6: Final answer
    x = 138,731.81

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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.