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Finding the Fourth Proportional to 73,218.36, 109,834.56 and 19,911

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Solution

The fourth proportional to 73,218.36, 109,834.56 and 19,911 is: 29,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,218.36 : 109,834.56 = 19,911 : x
  2. Step 2: Convert to fraction form
    73,218.36/109,834.56 = 19,911/x
  3. Step 3: Cross multiply
    73,218.36x = 109,834.56 × 19,911
  4. Step 4: Simplify right side
    73,218.36x = 2,186,915,924.16
  5. Step 5: Solve for x
    x = 2,186,915,924.16/73,218.36
  6. Step 6: Final answer
    x = 29,868.41

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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.