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Finding the Fourth Proportional to 206,314.49, 309,472.80 and 93,916.10

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Solution

The fourth proportional to 206,314.49, 309,472.80 and 93,916.10 is: 140,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,314.49 : 309,472.80 = 93,916.10 : x
  2. Step 2: Convert to fraction form
    206,314.49/309,472.80 = 93,916.10/x
  3. Step 3: Cross multiply
    206,314.49x = 309,472.80 × 93,916.10
  4. Step 4: Simplify right side
    206,314.49x = 29,064,479,164.26
  5. Step 5: Solve for x
    x = 29,064,479,164.26/206,314.49
  6. Step 6: Final answer
    x = 140,874.64

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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.