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Finding the Fourth Proportional to 219,328.86, 329,024.62 and 67,538.76

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Solution

The fourth proportional to 219,328.86, 329,024.62 and 67,538.76 is: 101,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,328.86 : 329,024.62 = 67,538.76 : x
  2. Step 2: Convert to fraction form
    219,328.86/329,024.62 = 67,538.76/x
  3. Step 3: Cross multiply
    219,328.86x = 329,024.62 × 67,538.76
  4. Step 4: Simplify right side
    219,328.86x = 22,221,914,844.27
  5. Step 5: Solve for x
    x = 22,221,914,844.27/219,328.86
  6. Step 6: Final answer
    x = 101,317.79

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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.