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Finding the Fourth Proportional to 275,783.04, 413,666.28 and 76,115.43

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Solution

The fourth proportional to 275,783.04, 413,666.28 and 76,115.43 is: 114,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,783.04 : 413,666.28 = 76,115.43 : x
  2. Step 2: Convert to fraction form
    275,783.04/413,666.28 = 76,115.43/x
  3. Step 3: Cross multiply
    275,783.04x = 413,666.28 × 76,115.43
  4. Step 4: Simplify right side
    275,783.04x = 31,486,386,778.70
  5. Step 5: Solve for x
    x = 31,486,386,778.70/275,783.04
  6. Step 6: Final answer
    x = 114,170.86

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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.