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Finding the Fourth Proportional to 202,110.20, 278,916.56 and 111,468.88

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Solution

The fourth proportional to 202,110.20, 278,916.56 and 111,468.88 is: 153,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,110.20 : 278,916.56 = 111,468.88 : x
  2. Step 2: Convert to fraction form
    202,110.20/278,916.56 = 111,468.88/x
  3. Step 3: Cross multiply
    202,110.20x = 278,916.56 × 111,468.88
  4. Step 4: Simplify right side
    202,110.20x = 31,090,516,556.65
  5. Step 5: Solve for x
    x = 31,090,516,556.65/202,110.20
  6. Step 6: Final answer
    x = 153,829.53

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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.