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Finding the Fourth Proportional to 73,183.65, 109,782.81 and 19,876.47

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Solution

The fourth proportional to 73,183.65, 109,782.81 and 19,876.47 is: 29,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,183.65 : 109,782.81 = 19,876.47 : x
  2. Step 2: Convert to fraction form
    73,183.65/109,782.81 = 19,876.47/x
  3. Step 3: Cross multiply
    73,183.65x = 109,782.81 × 19,876.47
  4. Step 4: Simplify right side
    73,183.65x = 2,182,094,729.48
  5. Step 5: Solve for x
    x = 2,182,094,729.48/73,183.65
  6. Step 6: Final answer
    x = 29,816.70

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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.