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Finding the Fourth Proportional to 156,204, 234,377.40 and 85,020

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Solution

The fourth proportional to 156,204, 234,377.40 and 85,020 is: 127,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,204 : 234,377.40 = 85,020 : x
  2. Step 2: Convert to fraction form
    156,204/234,377.40 = 85,020/x
  3. Step 3: Cross multiply
    156,204x = 234,377.40 × 85,020
  4. Step 4: Simplify right side
    156,204x = 19,926,766,548
  5. Step 5: Solve for x
    x = 19,926,766,548/156,204
  6. Step 6: Final answer
    x = 127,568.86

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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.