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Finding the Fourth Proportional to 204,927.40, 307,059.90 and 115,916.20

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Solution

The fourth proportional to 204,927.40, 307,059.90 and 115,916.20 is: 173,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,927.40 : 307,059.90 = 115,916.20 : x
  2. Step 2: Convert to fraction form
    204,927.40/307,059.90 = 115,916.20/x
  3. Step 3: Cross multiply
    204,927.40x = 307,059.90 × 115,916.20
  4. Step 4: Simplify right side
    204,927.40x = 35,593,216,780.38
  5. Step 5: Solve for x
    x = 35,593,216,780.38/204,927.40
  6. Step 6: Final answer
    x = 173,686.96

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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.