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Finding the Fourth Proportional to 82,325.40, 123,488.10 and 72,648.60

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Solution

The fourth proportional to 82,325.40, 123,488.10 and 72,648.60 is: 108,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,325.40 : 123,488.10 = 72,648.60 : x
  2. Step 2: Convert to fraction form
    82,325.40/123,488.10 = 72,648.60/x
  3. Step 3: Cross multiply
    82,325.40x = 123,488.10 × 72,648.60
  4. Step 4: Simplify right side
    82,325.40x = 8,971,237,581.66
  5. Step 5: Solve for x
    x = 8,971,237,581.66/82,325.40
  6. Step 6: Final answer
    x = 108,972.90

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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.