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Finding the Fourth Proportional to 203,461.68, 280,720.89 and 117,414.75

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Solution

The fourth proportional to 203,461.68, 280,720.89 and 117,414.75 is: 161,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.68 : 280,720.89 = 117,414.75 : x
  2. Step 2: Convert to fraction form
    203,461.68/280,720.89 = 117,414.75/x
  3. Step 3: Cross multiply
    203,461.68x = 280,720.89 × 117,414.75
  4. Step 4: Simplify right side
    203,461.68x = 32,960,773,119.13
  5. Step 5: Solve for x
    x = 32,960,773,119.13/203,461.68
  6. Step 6: Final answer
    x = 161,999.91

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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.