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Finding the Fourth Proportional to 87,114, 120,217.32 and 47,370

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Solution

The fourth proportional to 87,114, 120,217.32 and 47,370 is: 65,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,114 : 120,217.32 = 47,370 : x
  2. Step 2: Convert to fraction form
    87,114/120,217.32 = 47,370/x
  3. Step 3: Cross multiply
    87,114x = 120,217.32 × 47,370
  4. Step 4: Simplify right side
    87,114x = 5,694,694,448.40
  5. Step 5: Solve for x
    x = 5,694,694,448.40/87,114
  6. Step 6: Final answer
    x = 65,370.60

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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.