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Finding the Fourth Proportional to 202,115.10, 278,921.04 and 111,474.90

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Solution

The fourth proportional to 202,115.10, 278,921.04 and 111,474.90 is: 153,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,115.10 : 278,921.04 = 111,474.90 : x
  2. Step 2: Convert to fraction form
    202,115.10/278,921.04 = 111,474.90/x
  3. Step 3: Cross multiply
    202,115.10x = 278,921.04 × 111,474.90
  4. Step 4: Simplify right side
    202,115.10x = 31,092,695,041.90
  5. Step 5: Solve for x
    x = 31,092,695,041.90/202,115.10
  6. Step 6: Final answer
    x = 153,836.58

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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.