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Finding the Fourth Proportional to 89,708, 123,797.04 and 49,964

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Solution

The fourth proportional to 89,708, 123,797.04 and 49,964 is: 68,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,708 : 123,797.04 = 49,964 : x
  2. Step 2: Convert to fraction form
    89,708/123,797.04 = 49,964/x
  3. Step 3: Cross multiply
    89,708x = 123,797.04 × 49,964
  4. Step 4: Simplify right side
    89,708x = 6,185,395,306.56
  5. Step 5: Solve for x
    x = 6,185,395,306.56/89,708
  6. Step 6: Final answer
    x = 68,950.32

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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.