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Finding the Fourth Proportional to 128,214, 192,298.68 and 34,697.88

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Solution

The fourth proportional to 128,214, 192,298.68 and 34,697.88 is: 52,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 192,298.68 = 34,697.88 : x
  2. Step 2: Convert to fraction form
    128,214/192,298.68 = 34,697.88/x
  3. Step 3: Cross multiply
    128,214x = 192,298.68 × 34,697.88
  4. Step 4: Simplify right side
    128,214x = 6,672,356,522.80
  5. Step 5: Solve for x
    x = 6,672,356,522.80/128,214
  6. Step 6: Final answer
    x = 52,040.78

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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.