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Finding the Fourth Proportional to 99,694.51, 137,574.62 and 54,982.51

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Solution

The fourth proportional to 99,694.51, 137,574.62 and 54,982.51 is: 75,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,694.51 : 137,574.62 = 54,982.51 : x
  2. Step 2: Convert to fraction form
    99,694.51/137,574.62 = 54,982.51/x
  3. Step 3: Cross multiply
    99,694.51x = 137,574.62 × 54,982.51
  4. Step 4: Simplify right side
    99,694.51x = 7,564,197,507.23
  5. Step 5: Solve for x
    x = 7,564,197,507.23/99,694.51
  6. Step 6: Final answer
    x = 75,873.76

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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.