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Finding the Fourth Proportional to 87,037, 120,111.78 and 47,293

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Solution

The fourth proportional to 87,037, 120,111.78 and 47,293 is: 65,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,037 : 120,111.78 = 47,293 : x
  2. Step 2: Convert to fraction form
    87,037/120,111.78 = 47,293/x
  3. Step 3: Cross multiply
    87,037x = 120,111.78 × 47,293
  4. Step 4: Simplify right side
    87,037x = 5,680,446,411.54
  5. Step 5: Solve for x
    x = 5,680,446,411.54/87,037
  6. Step 6: Final answer
    x = 65,264.73

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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.