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Finding the Fourth Proportional to 140,882.56, 194,478.78 and 84,283

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Solution

The fourth proportional to 140,882.56, 194,478.78 and 84,283 is: 116,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882.56 : 194,478.78 = 84,283 : x
  2. Step 2: Convert to fraction form
    140,882.56/194,478.78 = 84,283/x
  3. Step 3: Cross multiply
    140,882.56x = 194,478.78 × 84,283
  4. Step 4: Simplify right side
    140,882.56x = 16,391,255,014.74
  5. Step 5: Solve for x
    x = 16,391,255,014.74/140,882.56
  6. Step 6: Final answer
    x = 116,346.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.