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Finding the Fourth Proportional to 275,812.76, 413,710.91 and 76,145.33

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Solution

The fourth proportional to 275,812.76, 413,710.91 and 76,145.33 is: 114,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.76 : 413,710.91 = 76,145.33 : x
  2. Step 2: Convert to fraction form
    275,812.76/413,710.91 = 76,145.33/x
  3. Step 3: Cross multiply
    275,812.76x = 413,710.91 × 76,145.33
  4. Step 4: Simplify right side
    275,812.76x = 31,502,154,705.65
  5. Step 5: Solve for x
    x = 31,502,154,705.65/275,812.76
  6. Step 6: Final answer
    x = 114,215.73

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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.