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Finding the Fourth Proportional to 100,134, 138,187.08 and 55,422

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Solution

The fourth proportional to 100,134, 138,187.08 and 55,422 is: 76,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134 : 138,187.08 = 55,422 : x
  2. Step 2: Convert to fraction form
    100,134/138,187.08 = 55,422/x
  3. Step 3: Cross multiply
    100,134x = 138,187.08 × 55,422
  4. Step 4: Simplify right side
    100,134x = 7,658,604,347.76
  5. Step 5: Solve for x
    x = 7,658,604,347.76/100,134
  6. Step 6: Final answer
    x = 76,483.56

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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.