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Finding the Fourth Proportional to 189,735.72, 284,634.30 and 58,377

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Solution

The fourth proportional to 189,735.72, 284,634.30 and 58,377 is: 87,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.72 : 284,634.30 = 58,377 : x
  2. Step 2: Convert to fraction form
    189,735.72/284,634.30 = 58,377/x
  3. Step 3: Cross multiply
    189,735.72x = 284,634.30 × 58,377
  4. Step 4: Simplify right side
    189,735.72x = 16,616,096,531.10
  5. Step 5: Solve for x
    x = 16,616,096,531.10/189,735.72
  6. Step 6: Final answer
    x = 87,574.95

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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.