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Finding the Fourth Proportional to 258,048.82, 387,057.84 and 80,530.84

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Solution

The fourth proportional to 258,048.82, 387,057.84 and 80,530.84 is: 120,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,048.82 : 387,057.84 = 80,530.84 : x
  2. Step 2: Convert to fraction form
    258,048.82/387,057.84 = 80,530.84/x
  3. Step 3: Cross multiply
    258,048.82x = 387,057.84 × 80,530.84
  4. Step 4: Simplify right side
    258,048.82x = 31,170,092,983.79
  5. Step 5: Solve for x
    x = 31,170,092,983.79/258,048.82
  6. Step 6: Final answer
    x = 120,791.46

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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.