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Finding the Fourth Proportional to 99,957.12, 137,940.72 and 55,245.12

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Solution

The fourth proportional to 99,957.12, 137,940.72 and 55,245.12 is: 76,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.12 : 137,940.72 = 55,245.12 : x
  2. Step 2: Convert to fraction form
    99,957.12/137,940.72 = 55,245.12/x
  3. Step 3: Cross multiply
    99,957.12x = 137,940.72 × 55,245.12
  4. Step 4: Simplify right side
    99,957.12x = 7,620,551,629.29
  5. Step 5: Solve for x
    x = 7,620,551,629.29/99,957.12
  6. Step 6: Final answer
    x = 76,238.21

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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.