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Finding the Fourth Proportional to 189,863.72, 284,270.62 and 142,974.44

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Solution

The fourth proportional to 189,863.72, 284,270.62 and 142,974.44 is: 214,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,863.72 : 284,270.62 = 142,974.44 : x
  2. Step 2: Convert to fraction form
    189,863.72/284,270.62 = 142,974.44/x
  3. Step 3: Cross multiply
    189,863.72x = 284,270.62 × 142,974.44
  4. Step 4: Simplify right side
    189,863.72x = 40,643,432,702.95
  5. Step 5: Solve for x
    x = 40,643,432,702.95/189,863.72
  6. Step 6: Final answer
    x = 214,066.35

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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.