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Finding the Fourth Proportional to 138,967.20, 208,297.20 and 76,682.40

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Solution

The fourth proportional to 138,967.20, 208,297.20 and 76,682.40 is: 114,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,967.20 : 208,297.20 = 76,682.40 : x
  2. Step 2: Convert to fraction form
    138,967.20/208,297.20 = 76,682.40/x
  3. Step 3: Cross multiply
    138,967.20x = 208,297.20 × 76,682.40
  4. Step 4: Simplify right side
    138,967.20x = 15,972,729,209.28
  5. Step 5: Solve for x
    x = 15,972,729,209.28/138,967.20
  6. Step 6: Final answer
    x = 114,938.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.