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Finding the Fourth Proportional to 203,065.42, 304,877.64 and 103,293.13

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Solution

The fourth proportional to 203,065.42, 304,877.64 and 103,293.13 is: 155,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065.42 : 304,877.64 = 103,293.13 : x
  2. Step 2: Convert to fraction form
    203,065.42/304,877.64 = 103,293.13/x
  3. Step 3: Cross multiply
    203,065.42x = 304,877.64 × 103,293.13
  4. Step 4: Simplify right side
    203,065.42x = 31,491,764,178.23
  5. Step 5: Solve for x
    x = 31,491,764,178.23/203,065.42
  6. Step 6: Final answer
    x = 155,081.87

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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.