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Finding the Fourth Proportional to 219,323, 329,015.92 and 67,532.95

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Solution

The fourth proportional to 219,323, 329,015.92 and 67,532.95 is: 101,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323 : 329,015.92 = 67,532.95 : x
  2. Step 2: Convert to fraction form
    219,323/329,015.92 = 67,532.95/x
  3. Step 3: Cross multiply
    219,323x = 329,015.92 × 67,532.95
  4. Step 4: Simplify right side
    219,323x = 22,219,415,336.90
  5. Step 5: Solve for x
    x = 22,219,415,336.90/219,323
  6. Step 6: Final answer
    x = 101,309.10

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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.