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Finding the Fourth Proportional to 272,927.38, 409,453.38 and 83,414.72

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Solution

The fourth proportional to 272,927.38, 409,453.38 and 83,414.72 is: 125,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,927.38 : 409,453.38 = 83,414.72 : x
  2. Step 2: Convert to fraction form
    272,927.38/409,453.38 = 83,414.72/x
  3. Step 3: Cross multiply
    272,927.38x = 409,453.38 × 83,414.72
  4. Step 4: Simplify right side
    272,927.38x = 34,154,439,045.75
  5. Step 5: Solve for x
    x = 34,154,439,045.75/272,927.38
  6. Step 6: Final answer
    x = 125,141.12

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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.