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Finding the Fourth Proportional to 281,103.92, 387,926.47 and 153,776.78

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Solution

The fourth proportional to 281,103.92, 387,926.47 and 153,776.78 is: 212,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,103.92 : 387,926.47 = 153,776.78 : x
  2. Step 2: Convert to fraction form
    281,103.92/387,926.47 = 153,776.78/x
  3. Step 3: Cross multiply
    281,103.92x = 387,926.47 × 153,776.78
  4. Step 4: Simplify right side
    281,103.92x = 59,654,084,787.62
  5. Step 5: Solve for x
    x = 59,654,084,787.62/281,103.92
  6. Step 6: Final answer
    x = 212,213.63

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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.