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Finding the Fourth Proportional to 161,865.70, 242,820.71 and 55,221.03

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Solution

The fourth proportional to 161,865.70, 242,820.71 and 55,221.03 is: 82,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,865.70 : 242,820.71 = 55,221.03 : x
  2. Step 2: Convert to fraction form
    161,865.70/242,820.71 = 55,221.03/x
  3. Step 3: Cross multiply
    161,865.70x = 242,820.71 × 55,221.03
  4. Step 4: Simplify right side
    161,865.70x = 13,408,809,456.35
  5. Step 5: Solve for x
    x = 13,408,809,456.35/161,865.70
  6. Step 6: Final answer
    x = 82,839.10

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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.