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Finding the Fourth Proportional to 285,566.96, 428,371.68 and 85,871.36

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Solution

The fourth proportional to 285,566.96, 428,371.68 and 85,871.36 is: 128,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,566.96 : 428,371.68 = 85,871.36 : x
  2. Step 2: Convert to fraction form
    285,566.96/428,371.68 = 85,871.36/x
  3. Step 3: Cross multiply
    285,566.96x = 428,371.68 × 85,871.36
  4. Step 4: Simplify right side
    285,566.96x = 36,784,858,747.08
  5. Step 5: Solve for x
    x = 36,784,858,747.08/285,566.96
  6. Step 6: Final answer
    x = 128,813.43

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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.