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Finding the Fourth Proportional to 161,765.20, 242,647.80 and 154,939.60

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Solution

The fourth proportional to 161,765.20, 242,647.80 and 154,939.60 is: 232,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.20 : 242,647.80 = 154,939.60 : x
  2. Step 2: Convert to fraction form
    161,765.20/242,647.80 = 154,939.60/x
  3. Step 3: Cross multiply
    161,765.20x = 242,647.80 × 154,939.60
  4. Step 4: Simplify right side
    161,765.20x = 37,595,753,072.88
  5. Step 5: Solve for x
    x = 37,595,753,072.88/161,765.20
  6. Step 6: Final answer
    x = 232,409.40

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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.