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Finding the Fourth Proportional to 99,689.88, 137,574.64 and 54,369.78

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Solution

The fourth proportional to 99,689.88, 137,574.64 and 54,369.78 is: 75,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,689.88 : 137,574.64 = 54,369.78 : x
  2. Step 2: Convert to fraction form
    99,689.88/137,574.64 = 54,369.78/x
  3. Step 3: Cross multiply
    99,689.88x = 137,574.64 × 54,369.78
  4. Step 4: Simplify right side
    99,689.88x = 7,479,902,462.44
  5. Step 5: Solve for x
    x = 7,479,902,462.44/99,689.88
  6. Step 6: Final answer
    x = 75,031.71

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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.