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Finding the Fourth Proportional to 81,205.40, 112,098 and 49,384.52

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Solution

The fourth proportional to 81,205.40, 112,098 and 49,384.52 is: 68,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.40 : 112,098 = 49,384.52 : x
  2. Step 2: Convert to fraction form
    81,205.40/112,098 = 49,384.52/x
  3. Step 3: Cross multiply
    81,205.40x = 112,098 × 49,384.52
  4. Step 4: Simplify right side
    81,205.40x = 5,535,905,922.96
  5. Step 5: Solve for x
    x = 5,535,905,922.96/81,205.40
  6. Step 6: Final answer
    x = 68,171.65

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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.