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Finding the Fourth Proportional to 201,906.48, 278,646.68 and 111,278.72

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Solution

The fourth proportional to 201,906.48, 278,646.68 and 111,278.72 is: 153,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.48 : 278,646.68 = 111,278.72 : x
  2. Step 2: Convert to fraction form
    201,906.48/278,646.68 = 111,278.72/x
  3. Step 3: Cross multiply
    201,906.48x = 278,646.68 × 111,278.72
  4. Step 4: Simplify right side
    201,906.48x = 31,007,445,882.65
  5. Step 5: Solve for x
    x = 31,007,445,882.65/201,906.48
  6. Step 6: Final answer
    x = 153,573.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.