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Finding the Fourth Proportional to 203,065.29, 304,877.46 and 103,293

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Solution

The fourth proportional to 203,065.29, 304,877.46 and 103,293 is: 155,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065.29 : 304,877.46 = 103,293 : x
  2. Step 2: Convert to fraction form
    203,065.29/304,877.46 = 103,293/x
  3. Step 3: Cross multiply
    203,065.29x = 304,877.46 × 103,293
  4. Step 4: Simplify right side
    203,065.29x = 31,491,706,959.32
  5. Step 5: Solve for x
    x = 31,491,706,959.32/203,065.29
  6. Step 6: Final answer
    x = 155,081.68

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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.