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Finding the Fourth Proportional to 181,951.40, 272,408.70 and 161,215.40

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Solution

The fourth proportional to 181,951.40, 272,408.70 and 161,215.40 is: 241,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951.40 : 272,408.70 = 161,215.40 : x
  2. Step 2: Convert to fraction form
    181,951.40/272,408.70 = 161,215.40/x
  3. Step 3: Cross multiply
    181,951.40x = 272,408.70 × 161,215.40
  4. Step 4: Simplify right side
    181,951.40x = 43,916,477,533.98
  5. Step 5: Solve for x
    x = 43,916,477,533.98/181,951.40
  6. Step 6: Final answer
    x = 241,363.78

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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.