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Finding the Fourth Proportional to 87,087, 120,180.15 and 47,343

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Solution

The fourth proportional to 87,087, 120,180.15 and 47,343 is: 65,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,087 : 120,180.15 = 47,343 : x
  2. Step 2: Convert to fraction form
    87,087/120,180.15 = 47,343/x
  3. Step 3: Cross multiply
    87,087x = 120,180.15 × 47,343
  4. Step 4: Simplify right side
    87,087x = 5,689,688,841.45
  5. Step 5: Solve for x
    x = 5,689,688,841.45/87,087
  6. Step 6: Final answer
    x = 65,333.39

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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.