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Finding the Fourth Proportional to 87,177, 120,304.26 and 47,433

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Solution

The fourth proportional to 87,177, 120,304.26 and 47,433 is: 65,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,177 : 120,304.26 = 47,433 : x
  2. Step 2: Convert to fraction form
    87,177/120,304.26 = 47,433/x
  3. Step 3: Cross multiply
    87,177x = 120,304.26 × 47,433
  4. Step 4: Simplify right side
    87,177x = 5,706,391,964.58
  5. Step 5: Solve for x
    x = 5,706,391,964.58/87,177
  6. Step 6: Final answer
    x = 65,457.54

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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.