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Finding the Fourth Proportional to 219,832.46, 329,788.18 and 77,760.08

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Solution

The fourth proportional to 219,832.46, 329,788.18 and 77,760.08 is: 116,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,832.46 : 329,788.18 = 77,760.08 : x
  2. Step 2: Convert to fraction form
    219,832.46/329,788.18 = 77,760.08/x
  3. Step 3: Cross multiply
    219,832.46x = 329,788.18 × 77,760.08
  4. Step 4: Simplify right side
    219,832.46x = 25,644,354,944.82
  5. Step 5: Solve for x
    x = 25,644,354,944.82/219,832.46
  6. Step 6: Final answer
    x = 116,654.09

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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.