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Finding the Fourth Proportional to 202,997.25, 280,117.23 and 121,309.30

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Solution

The fourth proportional to 202,997.25, 280,117.23 and 121,309.30 is: 167,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,997.25 : 280,117.23 = 121,309.30 : x
  2. Step 2: Convert to fraction form
    202,997.25/280,117.23 = 121,309.30/x
  3. Step 3: Cross multiply
    202,997.25x = 280,117.23 × 121,309.30
  4. Step 4: Simplify right side
    202,997.25x = 33,980,823,688.65
  5. Step 5: Solve for x
    x = 33,980,823,688.65/202,997.25
  6. Step 6: Final answer
    x = 167,395.49

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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.