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Finding the Fourth Proportional to 77,789.60, 107,351.81 and 47,574.37

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Solution

The fourth proportional to 77,789.60, 107,351.81 and 47,574.37 is: 65,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789.60 : 107,351.81 = 47,574.37 : x
  2. Step 2: Convert to fraction form
    77,789.60/107,351.81 = 47,574.37/x
  3. Step 3: Cross multiply
    77,789.60x = 107,351.81 × 47,574.37
  4. Step 4: Simplify right side
    77,789.60x = 5,107,194,803.83
  5. Step 5: Solve for x
    x = 5,107,194,803.83/77,789.60
  6. Step 6: Final answer
    x = 65,653.95

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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.