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Finding the Fourth Proportional to 81,006, 111,788.28 and 47,472

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Solution

The fourth proportional to 81,006, 111,788.28 and 47,472 is: 65,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,006 : 111,788.28 = 47,472 : x
  2. Step 2: Convert to fraction form
    81,006/111,788.28 = 47,472/x
  3. Step 3: Cross multiply
    81,006x = 111,788.28 × 47,472
  4. Step 4: Simplify right side
    81,006x = 5,306,813,228.16
  5. Step 5: Solve for x
    x = 5,306,813,228.16/81,006
  6. Step 6: Final answer
    x = 65,511.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.