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Finding the Fourth Proportional to 106,640, 147,163.20 and 61,930.88

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Solution

The fourth proportional to 106,640, 147,163.20 and 61,930.88 is: 85,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640 : 147,163.20 = 61,930.88 : x
  2. Step 2: Convert to fraction form
    106,640/147,163.20 = 61,930.88/x
  3. Step 3: Cross multiply
    106,640x = 147,163.20 × 61,930.88
  4. Step 4: Simplify right side
    106,640x = 9,113,946,479.62
  5. Step 5: Solve for x
    x = 9,113,946,479.62/106,640
  6. Step 6: Final answer
    x = 85,464.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.