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Finding the Fourth Proportional to 67,680.54, 101,516.49 and 20,929.50

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Solution

The fourth proportional to 67,680.54, 101,516.49 and 20,929.50 is: 31,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680.54 : 101,516.49 = 20,929.50 : x
  2. Step 2: Convert to fraction form
    67,680.54/101,516.49 = 20,929.50/x
  3. Step 3: Cross multiply
    67,680.54x = 101,516.49 × 20,929.50
  4. Step 4: Simplify right side
    67,680.54x = 2,124,689,377.46
  5. Step 5: Solve for x
    x = 2,124,689,377.46/67,680.54
  6. Step 6: Final answer
    x = 31,392.91

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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.