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Finding the Fourth Proportional to 135,904.80, 203,857.13 and 42,410.55

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Solution

The fourth proportional to 135,904.80, 203,857.13 and 42,410.55 is: 63,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.80 : 203,857.13 = 42,410.55 : x
  2. Step 2: Convert to fraction form
    135,904.80/203,857.13 = 42,410.55/x
  3. Step 3: Cross multiply
    135,904.80x = 203,857.13 × 42,410.55
  4. Step 4: Simplify right side
    135,904.80x = 8,645,693,110.75
  5. Step 5: Solve for x
    x = 8,645,693,110.75/135,904.80
  6. Step 6: Final answer
    x = 63,615.80

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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.