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Finding the Fourth Proportional to 80,642.99, 120,948.24 and 50,643.83

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Solution

The fourth proportional to 80,642.99, 120,948.24 and 50,643.83 is: 75,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,642.99 : 120,948.24 = 50,643.83 : x
  2. Step 2: Convert to fraction form
    80,642.99/120,948.24 = 50,643.83/x
  3. Step 3: Cross multiply
    80,642.99x = 120,948.24 × 50,643.83
  4. Step 4: Simplify right side
    80,642.99x = 6,125,282,105.36
  5. Step 5: Solve for x
    x = 6,125,282,105.36/80,642.99
  6. Step 6: Final answer
    x = 75,955.54

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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.