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Finding the Fourth Proportional to 192,502.17, 288,642.42 and 74,158.11

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Solution

The fourth proportional to 192,502.17, 288,642.42 and 74,158.11 is: 111,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,502.17 : 288,642.42 = 74,158.11 : x
  2. Step 2: Convert to fraction form
    192,502.17/288,642.42 = 74,158.11/x
  3. Step 3: Cross multiply
    192,502.17x = 288,642.42 × 74,158.11
  4. Step 4: Simplify right side
    192,502.17x = 21,405,176,333.03
  5. Step 5: Solve for x
    x = 21,405,176,333.03/192,502.17
  6. Step 6: Final answer
    x = 111,194.47

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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.