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Finding the Fourth Proportional to 81,871.55, 122,807.31 and 22,707.21

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Solution

The fourth proportional to 81,871.55, 122,807.31 and 22,707.21 is: 34,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.55 : 122,807.31 = 22,707.21 : x
  2. Step 2: Convert to fraction form
    81,871.55/122,807.31 = 22,707.21/x
  3. Step 3: Cross multiply
    81,871.55x = 122,807.31 × 22,707.21
  4. Step 4: Simplify right side
    81,871.55x = 2,788,611,264.17
  5. Step 5: Solve for x
    x = 2,788,611,264.17/81,871.55
  6. Step 6: Final answer
    x = 34,060.81

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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.