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Finding the Fourth Proportional to 149,100, 223,513.92 and 136,114.08

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Solution

The fourth proportional to 149,100, 223,513.92 and 136,114.08 is: 204,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,100 : 223,513.92 = 136,114.08 : x
  2. Step 2: Convert to fraction form
    149,100/223,513.92 = 136,114.08/x
  3. Step 3: Cross multiply
    149,100x = 223,513.92 × 136,114.08
  4. Step 4: Simplify right side
    149,100x = 30,423,391,587.99
  5. Step 5: Solve for x
    x = 30,423,391,587.99/149,100
  6. Step 6: Final answer
    x = 204,046.89

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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.