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Finding the Fourth Proportional to 161,509.76, 242,286.81 and 54,865.09

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Solution

The fourth proportional to 161,509.76, 242,286.81 and 54,865.09 is: 82,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.76 : 242,286.81 = 54,865.09 : x
  2. Step 2: Convert to fraction form
    161,509.76/242,286.81 = 54,865.09/x
  3. Step 3: Cross multiply
    161,509.76x = 242,286.81 × 54,865.09
  4. Step 4: Simplify right side
    161,509.76x = 13,293,086,150.70
  5. Step 5: Solve for x
    x = 13,293,086,150.70/161,509.76
  6. Step 6: Final answer
    x = 82,305.16

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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.