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Finding the Fourth Proportional to 135,757.76, 203,642.12 and 64,643.80

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Solution

The fourth proportional to 135,757.76, 203,642.12 and 64,643.80 is: 96,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,757.76 : 203,642.12 = 64,643.80 : x
  2. Step 2: Convert to fraction form
    135,757.76/203,642.12 = 64,643.80/x
  3. Step 3: Cross multiply
    135,757.76x = 203,642.12 × 64,643.80
  4. Step 4: Simplify right side
    135,757.76x = 13,164,200,476.86
  5. Step 5: Solve for x
    x = 13,164,200,476.86/135,757.76
  6. Step 6: Final answer
    x = 96,968.31

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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.