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Finding the Fourth Proportional to 67,382, 101,095.32 and 20,635.28

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Solution

The fourth proportional to 67,382, 101,095.32 and 20,635.28 is: 30,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,382 : 101,095.32 = 20,635.28 : x
  2. Step 2: Convert to fraction form
    67,382/101,095.32 = 20,635.28/x
  3. Step 3: Cross multiply
    67,382x = 101,095.32 × 20,635.28
  4. Step 4: Simplify right side
    67,382x = 2,086,130,234.89
  5. Step 5: Solve for x
    x = 2,086,130,234.89/67,382
  6. Step 6: Final answer
    x = 30,959.76

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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.