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Finding the Fourth Proportional to 100,584.05, 138,808.31 and 55,264.86

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Solution

The fourth proportional to 100,584.05, 138,808.31 and 55,264.86 is: 76,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.05 : 138,808.31 = 55,264.86 : x
  2. Step 2: Convert to fraction form
    100,584.05/138,808.31 = 55,264.86/x
  3. Step 3: Cross multiply
    100,584.05x = 138,808.31 × 55,264.86
  4. Step 4: Simplify right side
    100,584.05x = 7,671,221,542.66
  5. Step 5: Solve for x
    x = 7,671,221,542.66/100,584.05
  6. Step 6: Final answer
    x = 76,266.78

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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.