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Finding the Fourth Proportional to 203,129.52, 280,319.40 and 111,248.88

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Solution

The fourth proportional to 203,129.52, 280,319.40 and 111,248.88 is: 153,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,129.52 : 280,319.40 = 111,248.88 : x
  2. Step 2: Convert to fraction form
    203,129.52/280,319.40 = 111,248.88/x
  3. Step 3: Cross multiply
    203,129.52x = 280,319.40 × 111,248.88
  4. Step 4: Simplify right side
    203,129.52x = 31,185,219,292.27
  5. Step 5: Solve for x
    x = 31,185,219,292.27/203,129.52
  6. Step 6: Final answer
    x = 153,523.82

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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.