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Finding the Fourth Proportional to 228,965.14, 315,990.77 and 127,023.42

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Solution

The fourth proportional to 228,965.14, 315,990.77 and 127,023.42 is: 175,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,965.14 : 315,990.77 = 127,023.42 : x
  2. Step 2: Convert to fraction form
    228,965.14/315,990.77 = 127,023.42/x
  3. Step 3: Cross multiply
    228,965.14x = 315,990.77 × 127,023.42
  4. Step 4: Simplify right side
    228,965.14x = 40,138,228,293.83
  5. Step 5: Solve for x
    x = 40,138,228,293.83/228,965.14
  6. Step 6: Final answer
    x = 175,302.79

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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.