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Finding the Fourth Proportional to 161,709.70, 242,564.55 and 145,963.30

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Solution

The fourth proportional to 161,709.70, 242,564.55 and 145,963.30 is: 218,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.70 : 242,564.55 = 145,963.30 : x
  2. Step 2: Convert to fraction form
    161,709.70/242,564.55 = 145,963.30/x
  3. Step 3: Cross multiply
    161,709.70x = 242,564.55 × 145,963.30
  4. Step 4: Simplify right side
    161,709.70x = 35,405,522,181.02
  5. Step 5: Solve for x
    x = 35,405,522,181.02/161,709.70
  6. Step 6: Final answer
    x = 218,944.95

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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.