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Finding the Fourth Proportional to 227,853.34, 341,788.21 and 85,685.58

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Solution

The fourth proportional to 227,853.34, 341,788.21 and 85,685.58 is: 128,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853.34 : 341,788.21 = 85,685.58 : x
  2. Step 2: Convert to fraction form
    227,853.34/341,788.21 = 85,685.58/x
  3. Step 3: Cross multiply
    227,853.34x = 341,788.21 × 85,685.58
  4. Step 4: Simplify right side
    227,853.34x = 29,286,320,796.80
  5. Step 5: Solve for x
    x = 29,286,320,796.80/227,853.34
  6. Step 6: Final answer
    x = 128,531.45

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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.