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Finding the Fourth Proportional to 81,866.75, 122,603.13 and 55,491.53

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Solution

The fourth proportional to 81,866.75, 122,603.13 and 55,491.53 is: 83,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.75 : 122,603.13 = 55,491.53 : x
  2. Step 2: Convert to fraction form
    81,866.75/122,603.13 = 55,491.53/x
  3. Step 3: Cross multiply
    81,866.75x = 122,603.13 × 55,491.53
  4. Step 4: Simplify right side
    81,866.75x = 6,803,434,653.47
  5. Step 5: Solve for x
    x = 6,803,434,653.47/81,866.75
  6. Step 6: Final answer
    x = 83,103.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.