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Finding the Fourth Proportional to 192,791.72, 288,684.57 and 155,146.16

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Solution

The fourth proportional to 192,791.72, 288,684.57 and 155,146.16 is: 232,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,791.72 : 288,684.57 = 155,146.16 : x
  2. Step 2: Convert to fraction form
    192,791.72/288,684.57 = 155,146.16/x
  3. Step 3: Cross multiply
    192,791.72x = 288,684.57 × 155,146.16
  4. Step 4: Simplify right side
    192,791.72x = 44,788,302,486.75
  5. Step 5: Solve for x
    x = 44,788,302,486.75/192,791.72
  6. Step 6: Final answer
    x = 232,314.45

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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.