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Finding the Fourth Proportional to 100,076.40, 138,072.06 and 59,242.68

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Solution

The fourth proportional to 100,076.40, 138,072.06 and 59,242.68 is: 81,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076.40 : 138,072.06 = 59,242.68 : x
  2. Step 2: Convert to fraction form
    100,076.40/138,072.06 = 59,242.68/x
  3. Step 3: Cross multiply
    100,076.40x = 138,072.06 × 59,242.68
  4. Step 4: Simplify right side
    100,076.40x = 8,179,758,867.52
  5. Step 5: Solve for x
    x = 8,179,758,867.52/100,076.40
  6. Step 6: Final answer
    x = 81,735.14

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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.