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Finding the Fourth Proportional to 275,721.80, 413,582.70 and 157,405.10

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Solution

The fourth proportional to 275,721.80, 413,582.70 and 157,405.10 is: 236,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.80 : 413,582.70 = 157,405.10 : x
  2. Step 2: Convert to fraction form
    275,721.80/413,582.70 = 157,405.10/x
  3. Step 3: Cross multiply
    275,721.80x = 413,582.70 × 157,405.10
  4. Step 4: Simplify right side
    275,721.80x = 65,100,026,251.77
  5. Step 5: Solve for x
    x = 65,100,026,251.77/275,721.80
  6. Step 6: Final answer
    x = 236,107.65

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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.