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Finding the Fourth Proportional to 225,277.20, 310,878 and 129,781.44

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Solution

The fourth proportional to 225,277.20, 310,878 and 129,781.44 is: 179,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,277.20 : 310,878 = 129,781.44 : x
  2. Step 2: Convert to fraction form
    225,277.20/310,878 = 129,781.44/x
  3. Step 3: Cross multiply
    225,277.20x = 310,878 × 129,781.44
  4. Step 4: Simplify right side
    225,277.20x = 40,346,194,504.32
  5. Step 5: Solve for x
    x = 40,346,194,504.32/225,277.20
  6. Step 6: Final answer
    x = 179,095.77

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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.