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Finding the Fourth Proportional to 189,078.19, 283,425 and 75,306.60

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Solution

The fourth proportional to 189,078.19, 283,425 and 75,306.60 is: 112,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.19 : 283,425 = 75,306.60 : x
  2. Step 2: Convert to fraction form
    189,078.19/283,425 = 75,306.60/x
  3. Step 3: Cross multiply
    189,078.19x = 283,425 × 75,306.60
  4. Step 4: Simplify right side
    189,078.19x = 21,343,773,105
  5. Step 5: Solve for x
    x = 21,343,773,105/189,078.19
  6. Step 6: Final answer
    x = 112,883.32

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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.