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Finding the Fourth Proportional to 106,959.91, 147,620.12 and 61,629.20

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Solution

The fourth proportional to 106,959.91, 147,620.12 and 61,629.20 is: 85,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959.91 : 147,620.12 = 61,629.20 : x
  2. Step 2: Convert to fraction form
    106,959.91/147,620.12 = 61,629.20/x
  3. Step 3: Cross multiply
    106,959.91x = 147,620.12 × 61,629.20
  4. Step 4: Simplify right side
    106,959.91x = 9,097,709,960.41
  5. Step 5: Solve for x
    x = 9,097,709,960.41/106,959.91
  6. Step 6: Final answer
    x = 85,057.20

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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.