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Finding the Fourth Proportional to 159,902.21, 239,590.87 and 54,663.77

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Solution

The fourth proportional to 159,902.21, 239,590.87 and 54,663.77 is: 81,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,902.21 : 239,590.87 = 54,663.77 : x
  2. Step 2: Convert to fraction form
    159,902.21/239,590.87 = 54,663.77/x
  3. Step 3: Cross multiply
    159,902.21x = 239,590.87 × 54,663.77
  4. Step 4: Simplify right side
    159,902.21x = 13,096,940,211.78
  5. Step 5: Solve for x
    x = 13,096,940,211.78/159,902.21
  6. Step 6: Final answer
    x = 81,905.94

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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.