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Finding the Fourth Proportional to 81,362.68, 122,057.18 and 25,189.58

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Solution

The fourth proportional to 81,362.68, 122,057.18 and 25,189.58 is: 37,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,362.68 : 122,057.18 = 25,189.58 : x
  2. Step 2: Convert to fraction form
    81,362.68/122,057.18 = 25,189.58/x
  3. Step 3: Cross multiply
    81,362.68x = 122,057.18 × 25,189.58
  4. Step 4: Simplify right side
    81,362.68x = 3,074,569,373.84
  5. Step 5: Solve for x
    x = 3,074,569,373.84/81,362.68
  6. Step 6: Final answer
    x = 37,788.45

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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.