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Finding the Fourth Proportional to 77,120.82, 115,472.54 and 50,400.24

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Solution

The fourth proportional to 77,120.82, 115,472.54 and 50,400.24 is: 75,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120.82 : 115,472.54 = 50,400.24 : x
  2. Step 2: Convert to fraction form
    77,120.82/115,472.54 = 50,400.24/x
  3. Step 3: Cross multiply
    77,120.82x = 115,472.54 × 50,400.24
  4. Step 4: Simplify right side
    77,120.82x = 5,819,843,477.41
  5. Step 5: Solve for x
    x = 5,819,843,477.41/77,120.82
  6. Step 6: Final answer
    x = 75,463.97

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1.5x scale

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.