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Finding the Fourth Proportional to 81,758.84, 112,817.05 and 47,309.49

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Solution

The fourth proportional to 81,758.84, 112,817.05 and 47,309.49 is: 65,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758.84 : 112,817.05 = 47,309.49 : x
  2. Step 2: Convert to fraction form
    81,758.84/112,817.05 = 47,309.49/x
  3. Step 3: Cross multiply
    81,758.84x = 112,817.05 × 47,309.49
  4. Step 4: Simplify right side
    81,758.84x = 5,337,317,563.94
  5. Step 5: Solve for x
    x = 5,337,317,563.94/81,758.84
  6. Step 6: Final answer
    x = 65,281.23

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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.