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Finding the Fourth Proportional to 219,695.78, 329,541.28 and 166,713.14

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Solution

The fourth proportional to 219,695.78, 329,541.28 and 166,713.14 is: 250,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,695.78 : 329,541.28 = 166,713.14 : x
  2. Step 2: Convert to fraction form
    219,695.78/329,541.28 = 166,713.14/x
  3. Step 3: Cross multiply
    219,695.78x = 329,541.28 × 166,713.14
  4. Step 4: Simplify right side
    219,695.78x = 54,938,862,538.86
  5. Step 5: Solve for x
    x = 54,938,862,538.86/219,695.78
  6. Step 6: Final answer
    x = 250,067.90

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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.