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Finding the Fourth Proportional to 135,574, 203,390.78 and 55,612.44

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Solution

The fourth proportional to 135,574, 203,390.78 and 55,612.44 is: 83,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,574 : 203,390.78 = 55,612.44 : x
  2. Step 2: Convert to fraction form
    135,574/203,390.78 = 55,612.44/x
  3. Step 3: Cross multiply
    135,574x = 203,390.78 × 55,612.44
  4. Step 4: Simplify right side
    135,574x = 11,311,057,549.30
  5. Step 5: Solve for x
    x = 11,311,057,549.30/135,574
  6. Step 6: Final answer
    x = 83,430.88

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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.