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Finding the Fourth Proportional to 208,916.90, 313,160.84 and 82,505.90

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Solution

The fourth proportional to 208,916.90, 313,160.84 and 82,505.90 is: 123,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916.90 : 313,160.84 = 82,505.90 : x
  2. Step 2: Convert to fraction form
    208,916.90/313,160.84 = 82,505.90/x
  3. Step 3: Cross multiply
    208,916.90x = 313,160.84 × 82,505.90
  4. Step 4: Simplify right side
    208,916.90x = 25,837,616,948.96
  5. Step 5: Solve for x
    x = 25,837,616,948.96/208,916.90
  6. Step 6: Final answer
    x = 123,674.14

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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.