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Finding the Fourth Proportional to 67,146.32, 100,661.16 and 39,386

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Solution

The fourth proportional to 67,146.32, 100,661.16 and 39,386 is: 59,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146.32 : 100,661.16 = 39,386 : x
  2. Step 2: Convert to fraction form
    67,146.32/100,661.16 = 39,386/x
  3. Step 3: Cross multiply
    67,146.32x = 100,661.16 × 39,386
  4. Step 4: Simplify right side
    67,146.32x = 3,964,640,447.76
  5. Step 5: Solve for x
    x = 3,964,640,447.76/67,146.32
  6. Step 6: Final answer
    x = 59,044.79

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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.