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Finding the Fourth Proportional to 81,866.34, 122,799.51 and 29,290.86

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Solution

The fourth proportional to 81,866.34, 122,799.51 and 29,290.86 is: 43,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.34 : 122,799.51 = 29,290.86 : x
  2. Step 2: Convert to fraction form
    81,866.34/122,799.51 = 29,290.86/x
  3. Step 3: Cross multiply
    81,866.34x = 122,799.51 × 29,290.86
  4. Step 4: Simplify right side
    81,866.34x = 3,596,903,255.48
  5. Step 5: Solve for x
    x = 3,596,903,255.48/81,866.34
  6. Step 6: Final answer
    x = 43,936.29

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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.