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Finding the Fourth Proportional to 275,711.30, 413,048.55 and 142,136.90

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Solution

The fourth proportional to 275,711.30, 413,048.55 and 142,136.90 is: 212,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.30 : 413,048.55 = 142,136.90 : x
  2. Step 2: Convert to fraction form
    275,711.30/413,048.55 = 142,136.90/x
  3. Step 3: Cross multiply
    275,711.30x = 413,048.55 × 142,136.90
  4. Step 4: Simplify right side
    275,711.30x = 58,709,440,446.50
  5. Step 5: Solve for x
    x = 58,709,440,446.50/275,711.30
  6. Step 6: Final answer
    x = 212,938.10

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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.