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Finding the Fourth Proportional to 203,752.70, 305,695.46 and 102,498.49

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Solution

The fourth proportional to 203,752.70, 305,695.46 and 102,498.49 is: 153,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,752.70 : 305,695.46 = 102,498.49 : x
  2. Step 2: Convert to fraction form
    203,752.70/305,695.46 = 102,498.49/x
  3. Step 3: Cross multiply
    203,752.70x = 305,695.46 × 102,498.49
  4. Step 4: Simplify right side
    203,752.70x = 31,333,321,773.12
  5. Step 5: Solve for x
    x = 31,333,321,773.12/203,752.70
  6. Step 6: Final answer
    x = 153,781.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.