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Finding the Fourth Proportional to 189,635.51, 284,464.19 and 71,307.88

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Solution

The fourth proportional to 189,635.51, 284,464.19 and 71,307.88 is: 106,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,635.51 : 284,464.19 = 71,307.88 : x
  2. Step 2: Convert to fraction form
    189,635.51/284,464.19 = 71,307.88/x
  3. Step 3: Cross multiply
    189,635.51x = 284,464.19 × 71,307.88
  4. Step 4: Simplify right side
    189,635.51x = 20,284,537,791.93
  5. Step 5: Solve for x
    x = 20,284,537,791.93/189,635.51
  6. Step 6: Final answer
    x = 106,965.92

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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.