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Finding the Fourth Proportional to 81,881.70, 122,816.07 and 29,285.70

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Solution

The fourth proportional to 81,881.70, 122,816.07 and 29,285.70 is: 43,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.70 : 122,816.07 = 29,285.70 : x
  2. Step 2: Convert to fraction form
    81,881.70/122,816.07 = 29,285.70/x
  3. Step 3: Cross multiply
    81,881.70x = 122,816.07 × 29,285.70
  4. Step 4: Simplify right side
    81,881.70x = 3,596,754,581.20
  5. Step 5: Solve for x
    x = 3,596,754,581.20/81,881.70
  6. Step 6: Final answer
    x = 43,926.23

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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.