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Finding the Fourth Proportional to 87,035, 120,109.02 and 47,291

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Solution

The fourth proportional to 87,035, 120,109.02 and 47,291 is: 65,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,035 : 120,109.02 = 47,291 : x
  2. Step 2: Convert to fraction form
    87,035/120,109.02 = 47,291/x
  3. Step 3: Cross multiply
    87,035x = 120,109.02 × 47,291
  4. Step 4: Simplify right side
    87,035x = 5,680,075,664.82
  5. Step 5: Solve for x
    x = 5,680,075,664.82/87,035
  6. Step 6: Final answer
    x = 65,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.