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Finding the Fourth Proportional to 201,898.65, 278,608.64 and 115,839.39

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Solution

The fourth proportional to 201,898.65, 278,608.64 and 115,839.39 is: 159,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.65 : 278,608.64 = 115,839.39 : x
  2. Step 2: Convert to fraction form
    201,898.65/278,608.64 = 115,839.39/x
  3. Step 3: Cross multiply
    201,898.65x = 278,608.64 × 115,839.39
  4. Step 4: Simplify right side
    201,898.65x = 32,273,854,327.13
  5. Step 5: Solve for x
    x = 32,273,854,327.13/201,898.65
  6. Step 6: Final answer
    x = 159,851.76

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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.