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Finding the Fourth Proportional to 100,238.63, 138,329.30 and 55,526.63

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Solution

The fourth proportional to 100,238.63, 138,329.30 and 55,526.63 is: 76,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.63 : 138,329.30 = 55,526.63 : x
  2. Step 2: Convert to fraction form
    100,238.63/138,329.30 = 55,526.63/x
  3. Step 3: Cross multiply
    100,238.63x = 138,329.30 × 55,526.63
  4. Step 4: Simplify right side
    100,238.63x = 7,680,959,306.43
  5. Step 5: Solve for x
    x = 7,680,959,306.43/100,238.63
  6. Step 6: Final answer
    x = 76,626.74

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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.