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Finding the Fourth Proportional to 202,890.42, 304,390.31 and 69,773.20

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Solution

The fourth proportional to 202,890.42, 304,390.31 and 69,773.20 is: 104,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,890.42 : 304,390.31 = 69,773.20 : x
  2. Step 2: Convert to fraction form
    202,890.42/304,390.31 = 69,773.20/x
  3. Step 3: Cross multiply
    202,890.42x = 304,390.31 × 69,773.20
  4. Step 4: Simplify right side
    202,890.42x = 21,238,284,867.85
  5. Step 5: Solve for x
    x = 21,238,284,867.85/202,890.42
  6. Step 6: Final answer
    x = 104,678.60

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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.