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Finding the Fourth Proportional to 99,772.64, 137,371.92 and 84,633.92

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Solution

The fourth proportional to 99,772.64, 137,371.92 and 84,633.92 is: 116,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.64 : 137,371.92 = 84,633.92 : x
  2. Step 2: Convert to fraction form
    99,772.64/137,371.92 = 84,633.92/x
  3. Step 3: Cross multiply
    99,772.64x = 137,371.92 × 84,633.92
  4. Step 4: Simplify right side
    99,772.64x = 11,626,324,087.53
  5. Step 5: Solve for x
    x = 11,626,324,087.53/99,772.64
  6. Step 6: Final answer
    x = 116,528.18

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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.