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Finding the Fourth Proportional to 189,394.44, 283,821 and 139,079.88

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Solution

The fourth proportional to 189,394.44, 283,821 and 139,079.88 is: 208,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394.44 : 283,821 = 139,079.88 : x
  2. Step 2: Convert to fraction form
    189,394.44/283,821 = 139,079.88/x
  3. Step 3: Cross multiply
    189,394.44x = 283,821 × 139,079.88
  4. Step 4: Simplify right side
    189,394.44x = 39,473,790,621.48
  5. Step 5: Solve for x
    x = 39,473,790,621.48/189,394.44
  6. Step 6: Final answer
    x = 208,421.06

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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.