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Finding the Fourth Proportional to 203,284, 280,531.92 and 113,860

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Solution

The fourth proportional to 203,284, 280,531.92 and 113,860 is: 157,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,284 : 280,531.92 = 113,860 : x
  2. Step 2: Convert to fraction form
    203,284/280,531.92 = 113,860/x
  3. Step 3: Cross multiply
    203,284x = 280,531.92 × 113,860
  4. Step 4: Simplify right side
    203,284x = 31,941,364,411.20
  5. Step 5: Solve for x
    x = 31,941,364,411.20/203,284
  6. Step 6: Final answer
    x = 157,126.80

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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.