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Finding the Fourth Proportional to 275,109.87, 413,047.13 and 142,088.43

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Solution

The fourth proportional to 275,109.87, 413,047.13 and 142,088.43 is: 213,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,109.87 : 413,047.13 = 142,088.43 : x
  2. Step 2: Convert to fraction form
    275,109.87/413,047.13 = 142,088.43/x
  3. Step 3: Cross multiply
    275,109.87x = 413,047.13 × 142,088.43
  4. Step 4: Simplify right side
    275,109.87x = 58,689,217,507.26
  5. Step 5: Solve for x
    x = 58,689,217,507.26/275,109.87
  6. Step 6: Final answer
    x = 213,330.11

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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.