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Finding the Fourth Proportional to 81,000, 111,790.80 and 47,466

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Solution

The fourth proportional to 81,000, 111,790.80 and 47,466 is: 65,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 111,790.80 = 47,466 : x
  2. Step 2: Convert to fraction form
    81,000/111,790.80 = 47,466/x
  3. Step 3: Cross multiply
    81,000x = 111,790.80 × 47,466
  4. Step 4: Simplify right side
    81,000x = 5,306,262,112.80
  5. Step 5: Solve for x
    x = 5,306,262,112.80/81,000
  6. Step 6: Final answer
    x = 65,509.41

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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.