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Finding the Fourth Proportional to 85,380.75, 117,826.65 and 47,655

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Solution

The fourth proportional to 85,380.75, 117,826.65 and 47,655 is: 65,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,380.75 : 117,826.65 = 47,655 : x
  2. Step 2: Convert to fraction form
    85,380.75/117,826.65 = 47,655/x
  3. Step 3: Cross multiply
    85,380.75x = 117,826.65 × 47,655
  4. Step 4: Simplify right side
    85,380.75x = 5,615,029,005.75
  5. Step 5: Solve for x
    x = 5,615,029,005.75/85,380.75
  6. Step 6: Final answer
    x = 65,764.58

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1.5x scale

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.