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Finding the Fourth Proportional to 192,908.34, 289,012.57 and 142,432.38

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Solution

The fourth proportional to 192,908.34, 289,012.57 and 142,432.38 is: 213,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,908.34 : 289,012.57 = 142,432.38 : x
  2. Step 2: Convert to fraction form
    192,908.34/289,012.57 = 142,432.38/x
  3. Step 3: Cross multiply
    192,908.34x = 289,012.57 × 142,432.38
  4. Step 4: Simplify right side
    192,908.34x = 41,164,748,195.02
  5. Step 5: Solve for x
    x = 41,164,748,195.02/192,908.34
  6. Step 6: Final answer
    x = 213,390.19

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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.