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Finding the Fourth Proportional to 203,148.34, 280,391.36 and 135,168.17

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Solution

The fourth proportional to 203,148.34, 280,391.36 and 135,168.17 is: 186,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,148.34 : 280,391.36 = 135,168.17 : x
  2. Step 2: Convert to fraction form
    203,148.34/280,391.36 = 135,168.17/x
  3. Step 3: Cross multiply
    203,148.34x = 280,391.36 × 135,168.17
  4. Step 4: Simplify right side
    203,148.34x = 37,899,987,015.01
  5. Step 5: Solve for x
    x = 37,899,987,015.01/203,148.34
  6. Step 6: Final answer
    x = 186,563.11

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1.5x scale

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.