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Finding the Fourth Proportional to 218,872.92, 301,911.66 and 138,235.80

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Solution

The fourth proportional to 218,872.92, 301,911.66 and 138,235.80 is: 190,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.92 : 301,911.66 = 138,235.80 : x
  2. Step 2: Convert to fraction form
    218,872.92/301,911.66 = 138,235.80/x
  3. Step 3: Cross multiply
    218,872.92x = 301,911.66 × 138,235.80
  4. Step 4: Simplify right side
    218,872.92x = 41,734,999,849.43
  5. Step 5: Solve for x
    x = 41,734,999,849.43/218,872.92
  6. Step 6: Final answer
    x = 190,681.42

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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.