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Finding the Fourth Proportional to 189,635.41, 284,464.04 and 71,307.78

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Solution

The fourth proportional to 189,635.41, 284,464.04 and 71,307.78 is: 106,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,635.41 : 284,464.04 = 71,307.78 : x
  2. Step 2: Convert to fraction form
    189,635.41/284,464.04 = 71,307.78/x
  3. Step 3: Cross multiply
    189,635.41x = 284,464.04 × 71,307.78
  4. Step 4: Simplify right side
    189,635.41x = 20,284,497,758.95
  5. Step 5: Solve for x
    x = 20,284,497,758.95/189,635.41
  6. Step 6: Final answer
    x = 106,965.77

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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.