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Finding the Fourth Proportional to 81,578.56, 112,553.16 and 47,562.97

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Solution

The fourth proportional to 81,578.56, 112,553.16 and 47,562.97 is: 65,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578.56 : 112,553.16 = 47,562.97 : x
  2. Step 2: Convert to fraction form
    81,578.56/112,553.16 = 47,562.97/x
  3. Step 3: Cross multiply
    81,578.56x = 112,553.16 × 47,562.97
  4. Step 4: Simplify right side
    81,578.56x = 5,353,362,572.49
  5. Step 5: Solve for x
    x = 5,353,362,572.49/81,578.56
  6. Step 6: Final answer
    x = 65,622.18

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1.5x scale

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.