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Finding the Fourth Proportional to 189,636.46, 284,496.24 and 71,307.80

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Solution

The fourth proportional to 189,636.46, 284,496.24 and 71,307.80 is: 106,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,636.46 : 284,496.24 = 71,307.80 : x
  2. Step 2: Convert to fraction form
    189,636.46/284,496.24 = 71,307.80/x
  3. Step 3: Cross multiply
    189,636.46x = 284,496.24 × 71,307.80
  4. Step 4: Simplify right side
    189,636.46x = 20,286,800,982.67
  5. Step 5: Solve for x
    x = 20,286,800,982.67/189,636.46
  6. Step 6: Final answer
    x = 106,977.32

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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.