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Finding the Fourth Proportional to 81,056.84, 111,894.90 and 47,525

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Solution

The fourth proportional to 81,056.84, 111,894.90 and 47,525 is: 65,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056.84 : 111,894.90 = 47,525 : x
  2. Step 2: Convert to fraction form
    81,056.84/111,894.90 = 47,525/x
  3. Step 3: Cross multiply
    81,056.84x = 111,894.90 × 47,525
  4. Step 4: Simplify right side
    81,056.84x = 5,317,805,122.50
  5. Step 5: Solve for x
    x = 5,317,805,122.50/81,056.84
  6. Step 6: Final answer
    x = 65,605.88

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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.