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Finding the Fourth Proportional to 87,294, 120,460.05 and 51,475.80

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Solution

The fourth proportional to 87,294, 120,460.05 and 51,475.80 is: 71,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294 : 120,460.05 = 51,475.80 : x
  2. Step 2: Convert to fraction form
    87,294/120,460.05 = 51,475.80/x
  3. Step 3: Cross multiply
    87,294x = 120,460.05 × 51,475.80
  4. Step 4: Simplify right side
    87,294x = 6,200,777,441.79
  5. Step 5: Solve for x
    x = 6,200,777,441.79/87,294
  6. Step 6: Final answer
    x = 71,033.26

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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.