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Finding the Fourth Proportional to 81,885.30, 122,814.21 and 22,726.98

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Solution

The fourth proportional to 81,885.30, 122,814.21 and 22,726.98 is: 34,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.30 : 122,814.21 = 22,726.98 : x
  2. Step 2: Convert to fraction form
    81,885.30/122,814.21 = 22,726.98/x
  3. Step 3: Cross multiply
    81,885.30x = 122,814.21 × 22,726.98
  4. Step 4: Simplify right side
    81,885.30x = 2,791,196,094.39
  5. Step 5: Solve for x
    x = 2,791,196,094.39/81,885.30
  6. Step 6: Final answer
    x = 34,086.66

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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.