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Finding the Fourth Proportional to 202,838.69, 280,147.13 and 138,195.75

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Solution

The fourth proportional to 202,838.69, 280,147.13 and 138,195.75 is: 190,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.69 : 280,147.13 = 138,195.75 : x
  2. Step 2: Convert to fraction form
    202,838.69/280,147.13 = 138,195.75/x
  3. Step 3: Cross multiply
    202,838.69x = 280,147.13 × 138,195.75
  4. Step 4: Simplify right side
    202,838.69x = 38,715,142,049.72
  5. Step 5: Solve for x
    x = 38,715,142,049.72/202,838.69
  6. Step 6: Final answer
    x = 190,866.66

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1.5x scale

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.