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Finding the Fourth Proportional to 161,787, 242,728.38 and 82,956.54

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Solution

The fourth proportional to 161,787, 242,728.38 and 82,956.54 is: 124,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,787 : 242,728.38 = 82,956.54 : x
  2. Step 2: Convert to fraction form
    161,787/242,728.38 = 82,956.54/x
  3. Step 3: Cross multiply
    161,787x = 242,728.38 × 82,956.54
  4. Step 4: Simplify right side
    161,787x = 20,135,906,564.61
  5. Step 5: Solve for x
    x = 20,135,906,564.61/161,787
  6. Step 6: Final answer
    x = 124,459.36

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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.