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Finding the Fourth Proportional to 181,493.20, 272,110.20 and 102,631.60

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Solution

The fourth proportional to 181,493.20, 272,110.20 and 102,631.60 is: 153,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,493.20 : 272,110.20 = 102,631.60 : x
  2. Step 2: Convert to fraction form
    181,493.20/272,110.20 = 102,631.60/x
  3. Step 3: Cross multiply
    181,493.20x = 272,110.20 × 102,631.60
  4. Step 4: Simplify right side
    181,493.20x = 27,927,105,202.32
  5. Step 5: Solve for x
    x = 27,927,105,202.32/181,493.20
  6. Step 6: Final answer
    x = 153,874.11

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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.