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Finding the Fourth Proportional to 81,054.84, 111,892.14 and 47,523

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Solution

The fourth proportional to 81,054.84, 111,892.14 and 47,523 is: 65,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.84 : 111,892.14 = 47,523 : x
  2. Step 2: Convert to fraction form
    81,054.84/111,892.14 = 47,523/x
  3. Step 3: Cross multiply
    81,054.84x = 111,892.14 × 47,523
  4. Step 4: Simplify right side
    81,054.84x = 5,317,450,169.22
  5. Step 5: Solve for x
    x = 5,317,450,169.22/81,054.84
  6. Step 6: Final answer
    x = 65,603.12

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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.