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Finding the Fourth Proportional to 202,856.31, 280,171.49 and 138,213.45

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Solution

The fourth proportional to 202,856.31, 280,171.49 and 138,213.45 is: 190,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,856.31 : 280,171.49 = 138,213.45 : x
  2. Step 2: Convert to fraction form
    202,856.31/280,171.49 = 138,213.45/x
  3. Step 3: Cross multiply
    202,856.31x = 280,171.49 × 138,213.45
  4. Step 4: Simplify right side
    202,856.31x = 38,723,467,533.47
  5. Step 5: Solve for x
    x = 38,723,467,533.47/202,856.31
  6. Step 6: Final answer
    x = 190,891.12

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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.