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Finding the Fourth Proportional to 82,154, 123,231.04 and 32,257.60

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Solution

The fourth proportional to 82,154, 123,231.04 and 32,257.60 is: 48,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 123,231.04 = 32,257.60 : x
  2. Step 2: Convert to fraction form
    82,154/123,231.04 = 32,257.60/x
  3. Step 3: Cross multiply
    82,154x = 123,231.04 × 32,257.60
  4. Step 4: Simplify right side
    82,154x = 3,975,137,595.90
  5. Step 5: Solve for x
    x = 3,975,137,595.90/82,154
  6. Step 6: Final answer
    x = 48,386.42

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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.