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Finding the Fourth Proportional to 85,208.85, 127,813.28 and 47,884.05

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Solution

The fourth proportional to 85,208.85, 127,813.28 and 47,884.05 is: 71,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,208.85 : 127,813.28 = 47,884.05 : x
  2. Step 2: Convert to fraction form
    85,208.85/127,813.28 = 47,884.05/x
  3. Step 3: Cross multiply
    85,208.85x = 127,813.28 × 47,884.05
  4. Step 4: Simplify right side
    85,208.85x = 6,120,217,250.76
  5. Step 5: Solve for x
    x = 6,120,217,250.76/85,208.85
  6. Step 6: Final answer
    x = 71,826.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.