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Finding the Fourth Proportional to 100,363.36, 138,508 and 57,924.80

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Solution

The fourth proportional to 100,363.36, 138,508 and 57,924.80 is: 79,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363.36 : 138,508 = 57,924.80 : x
  2. Step 2: Convert to fraction form
    100,363.36/138,508 = 57,924.80/x
  3. Step 3: Cross multiply
    100,363.36x = 138,508 × 57,924.80
  4. Step 4: Simplify right side
    100,363.36x = 8,023,048,198.40
  5. Step 5: Solve for x
    x = 8,023,048,198.40/100,363.36
  6. Step 6: Final answer
    x = 79,940.01

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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.