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Finding the Fourth Proportional to 81,870.54, 122,805.81 and 22,706.21

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Solution

The fourth proportional to 81,870.54, 122,805.81 and 22,706.21 is: 34,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.54 : 122,805.81 = 22,706.21 : x
  2. Step 2: Convert to fraction form
    81,870.54/122,805.81 = 22,706.21/x
  3. Step 3: Cross multiply
    81,870.54x = 122,805.81 × 22,706.21
  4. Step 4: Simplify right side
    81,870.54x = 2,788,454,397.55
  5. Step 5: Solve for x
    x = 2,788,454,397.55/81,870.54
  6. Step 6: Final answer
    x = 34,059.31

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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.