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Finding the Fourth Proportional to 128,819.84, 193,234.08 and 38,866.64

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Solution

The fourth proportional to 128,819.84, 193,234.08 and 38,866.64 is: 58,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,819.84 : 193,234.08 = 38,866.64 : x
  2. Step 2: Convert to fraction form
    128,819.84/193,234.08 = 38,866.64/x
  3. Step 3: Cross multiply
    128,819.84x = 193,234.08 × 38,866.64
  4. Step 4: Simplify right side
    128,819.84x = 7,510,359,423.09
  5. Step 5: Solve for x
    x = 7,510,359,423.09/128,819.84
  6. Step 6: Final answer
    x = 58,301.26

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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.