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Finding the Fourth Proportional to 189,510.78, 284,414.76 and 132,212.04

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Solution

The fourth proportional to 189,510.78, 284,414.76 and 132,212.04 is: 198,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,510.78 : 284,414.76 = 132,212.04 : x
  2. Step 2: Convert to fraction form
    189,510.78/284,414.76 = 132,212.04/x
  3. Step 3: Cross multiply
    189,510.78x = 284,414.76 × 132,212.04
  4. Step 4: Simplify right side
    189,510.78x = 37,603,055,625.71
  5. Step 5: Solve for x
    x = 37,603,055,625.71/189,510.78
  6. Step 6: Final answer
    x = 198,421.72

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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.