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Finding the Fourth Proportional to 100,689.24, 138,948.33 and 55,367.31

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Solution

The fourth proportional to 100,689.24, 138,948.33 and 55,367.31 is: 76,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.24 : 138,948.33 = 55,367.31 : x
  2. Step 2: Convert to fraction form
    100,689.24/138,948.33 = 55,367.31/x
  3. Step 3: Cross multiply
    100,689.24x = 138,948.33 × 55,367.31
  4. Step 4: Simplify right side
    100,689.24x = 7,693,195,261.09
  5. Step 5: Solve for x
    x = 7,693,195,261.09/100,689.24
  6. Step 6: Final answer
    x = 76,405.34

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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.