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Finding the Fourth Proportional to 197,757.64, 296,636.28 and 79,429

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Solution

The fourth proportional to 197,757.64, 296,636.28 and 79,429 is: 119,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,757.64 : 296,636.28 = 79,429 : x
  2. Step 2: Convert to fraction form
    197,757.64/296,636.28 = 79,429/x
  3. Step 3: Cross multiply
    197,757.64x = 296,636.28 × 79,429
  4. Step 4: Simplify right side
    197,757.64x = 23,561,523,084.12
  5. Step 5: Solve for x
    x = 23,561,523,084.12/197,757.64
  6. Step 6: Final answer
    x = 119,143.43

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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.