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Finding the Fourth Proportional to 85,471.44, 117,947.64 and 47,228.76

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Solution

The fourth proportional to 85,471.44, 117,947.64 and 47,228.76 is: 65,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.44 : 117,947.64 = 47,228.76 : x
  2. Step 2: Convert to fraction form
    85,471.44/117,947.64 = 47,228.76/x
  3. Step 3: Cross multiply
    85,471.44x = 117,947.64 × 47,228.76
  4. Step 4: Simplify right side
    85,471.44x = 5,570,520,782.13
  5. Step 5: Solve for x
    x = 5,570,520,782.13/85,471.44
  6. Step 6: Final answer
    x = 65,174.06

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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.