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Finding the Fourth Proportional to 100,270.97, 138,360.79 and 59,970.03

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Solution

The fourth proportional to 100,270.97, 138,360.79 and 59,970.03 is: 82,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.97 : 138,360.79 = 59,970.03 : x
  2. Step 2: Convert to fraction form
    100,270.97/138,360.79 = 59,970.03/x
  3. Step 3: Cross multiply
    100,270.97x = 138,360.79 × 59,970.03
  4. Step 4: Simplify right side
    100,270.97x = 8,297,500,727.12
  5. Step 5: Solve for x
    x = 8,297,500,727.12/100,270.97
  6. Step 6: Final answer
    x = 82,750.78

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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.