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Finding the Fourth Proportional to 203,092.82, 304,918.74 and 103,320.50

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Solution

The fourth proportional to 203,092.82, 304,918.74 and 103,320.50 is: 155,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,092.82 : 304,918.74 = 103,320.50 : x
  2. Step 2: Convert to fraction form
    203,092.82/304,918.74 = 103,320.50/x
  3. Step 3: Cross multiply
    203,092.82x = 304,918.74 × 103,320.50
  4. Step 4: Simplify right side
    203,092.82x = 31,504,356,676.17
  5. Step 5: Solve for x
    x = 31,504,356,676.17/203,092.82
  6. Step 6: Final answer
    x = 155,122.95

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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.