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Finding the Fourth Proportional to 203,345.88, 280,266.78 and 135,241.02

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Solution

The fourth proportional to 203,345.88, 280,266.78 and 135,241.02 is: 186,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,345.88 : 280,266.78 = 135,241.02 : x
  2. Step 2: Convert to fraction form
    203,345.88/280,266.78 = 135,241.02/x
  3. Step 3: Cross multiply
    203,345.88x = 280,266.78 × 135,241.02
  4. Step 4: Simplify right side
    203,345.88x = 37,903,565,199.32
  5. Step 5: Solve for x
    x = 37,903,565,199.32/203,345.88
  6. Step 6: Final answer
    x = 186,399.47

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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.