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Finding the Fourth Proportional to 202,881, 279,976.74 and 113,457

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Solution

The fourth proportional to 202,881, 279,976.74 and 113,457 is: 156,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,881 : 279,976.74 = 113,457 : x
  2. Step 2: Convert to fraction form
    202,881/279,976.74 = 113,457/x
  3. Step 3: Cross multiply
    202,881x = 279,976.74 × 113,457
  4. Step 4: Simplify right side
    202,881x = 31,765,320,990.18
  5. Step 5: Solve for x
    x = 31,765,320,990.18/202,881
  6. Step 6: Final answer
    x = 156,571.20

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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.