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Finding the Fourth Proportional to 87,575, 120,856.38 and 47,831

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Solution

The fourth proportional to 87,575, 120,856.38 and 47,831 is: 66,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,575 : 120,856.38 = 47,831 : x
  2. Step 2: Convert to fraction form
    87,575/120,856.38 = 47,831/x
  3. Step 3: Cross multiply
    87,575x = 120,856.38 × 47,831
  4. Step 4: Simplify right side
    87,575x = 5,780,681,511.78
  5. Step 5: Solve for x
    x = 5,780,681,511.78/87,575
  6. Step 6: Final answer
    x = 66,008.35

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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.