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Finding the Fourth Proportional to 228,456.84, 342,721.98 and 78,660.30

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Solution

The fourth proportional to 228,456.84, 342,721.98 and 78,660.30 is: 118,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,456.84 : 342,721.98 = 78,660.30 : x
  2. Step 2: Convert to fraction form
    228,456.84/342,721.98 = 78,660.30/x
  3. Step 3: Cross multiply
    228,456.84x = 342,721.98 × 78,660.30
  4. Step 4: Simplify right side
    228,456.84x = 26,958,613,763.39
  5. Step 5: Solve for x
    x = 26,958,613,763.39/228,456.84
  6. Step 6: Final answer
    x = 118,003.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.