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Finding the Fourth Proportional to 203,523.20, 280,879.80 and 118,638.48

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Solution

The fourth proportional to 203,523.20, 280,879.80 and 118,638.48 is: 163,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,523.20 : 280,879.80 = 118,638.48 : x
  2. Step 2: Convert to fraction form
    203,523.20/280,879.80 = 118,638.48/x
  3. Step 3: Cross multiply
    203,523.20x = 280,879.80 × 118,638.48
  4. Step 4: Simplify right side
    203,523.20x = 33,323,152,534.70
  5. Step 5: Solve for x
    x = 33,323,152,534.70/203,523.20
  6. Step 6: Final answer
    x = 163,731.47

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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.