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Finding the Fourth Proportional to 203,562.84, 305,196.64 and 136,837.47

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Solution

The fourth proportional to 203,562.84, 305,196.64 and 136,837.47 is: 205,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,562.84 : 305,196.64 = 136,837.47 : x
  2. Step 2: Convert to fraction form
    203,562.84/305,196.64 = 136,837.47/x
  3. Step 3: Cross multiply
    203,562.84x = 305,196.64 × 136,837.47
  4. Step 4: Simplify right side
    203,562.84x = 41,762,335,385.91
  5. Step 5: Solve for x
    x = 41,762,335,385.91/203,562.84
  6. Step 6: Final answer
    x = 205,156.97

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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.