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Finding the Fourth Proportional to 77,471.50, 106,928.91 and 47,281.78

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Solution

The fourth proportional to 77,471.50, 106,928.91 and 47,281.78 is: 65,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471.50 : 106,928.91 = 47,281.78 : x
  2. Step 2: Convert to fraction form
    77,471.50/106,928.91 = 47,281.78/x
  3. Step 3: Cross multiply
    77,471.50x = 106,928.91 × 47,281.78
  4. Step 4: Simplify right side
    77,471.50x = 5,055,789,198.26
  5. Step 5: Solve for x
    x = 5,055,789,198.26/77,471.50
  6. Step 6: Final answer
    x = 65,259.99

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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.