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Finding the Fourth Proportional to 228,902.28, 343,151.04 and 86,648.76

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Solution

The fourth proportional to 228,902.28, 343,151.04 and 86,648.76 is: 129,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,902.28 : 343,151.04 = 86,648.76 : x
  2. Step 2: Convert to fraction form
    228,902.28/343,151.04 = 86,648.76/x
  3. Step 3: Cross multiply
    228,902.28x = 343,151.04 × 86,648.76
  4. Step 4: Simplify right side
    228,902.28x = 29,733,612,108.71
  5. Step 5: Solve for x
    x = 29,733,612,108.71/228,902.28
  6. Step 6: Final answer
    x = 129,896.53

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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.