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Finding the Fourth Proportional to 106,605.30, 159,907.64 and 43,410.54

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Solution

The fourth proportional to 106,605.30, 159,907.64 and 43,410.54 is: 65,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,605.30 : 159,907.64 = 43,410.54 : x
  2. Step 2: Convert to fraction form
    106,605.30/159,907.64 = 43,410.54/x
  3. Step 3: Cross multiply
    106,605.30x = 159,907.64 × 43,410.54
  4. Step 4: Simplify right side
    106,605.30x = 6,941,676,785.47
  5. Step 5: Solve for x
    x = 6,941,676,785.47/106,605.30
  6. Step 6: Final answer
    x = 65,115.68

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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.