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Finding the Fourth Proportional to 100,159.65, 138,221.94 and 54,836.87

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Solution

The fourth proportional to 100,159.65, 138,221.94 and 54,836.87 is: 75,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.65 : 138,221.94 = 54,836.87 : x
  2. Step 2: Convert to fraction form
    100,159.65/138,221.94 = 54,836.87/x
  3. Step 3: Cross multiply
    100,159.65x = 138,221.94 × 54,836.87
  4. Step 4: Simplify right side
    100,159.65x = 7,579,657,863.82
  5. Step 5: Solve for x
    x = 7,579,657,863.82/100,159.65
  6. Step 6: Final answer
    x = 75,675.76

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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.