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Finding the Fourth Proportional to 189,715.75, 284,584.76 and 71,388.11

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Solution

The fourth proportional to 189,715.75, 284,584.76 and 71,388.11 is: 107,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.75 : 284,584.76 = 71,388.11 : x
  2. Step 2: Convert to fraction form
    189,715.75/284,584.76 = 71,388.11/x
  3. Step 3: Cross multiply
    189,715.75x = 284,584.76 × 71,388.11
  4. Step 4: Simplify right side
    189,715.75x = 20,315,968,151.20
  5. Step 5: Solve for x
    x = 20,315,968,151.20/189,715.75
  6. Step 6: Final answer
    x = 107,086.35

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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.