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Finding the Fourth Proportional to 202,729.29, 279,755.13 and 112,079.97

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Solution

The fourth proportional to 202,729.29, 279,755.13 and 112,079.97 is: 154,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,729.29 : 279,755.13 = 112,079.97 : x
  2. Step 2: Convert to fraction form
    202,729.29/279,755.13 = 112,079.97/x
  3. Step 3: Cross multiply
    202,729.29x = 279,755.13 × 112,079.97
  4. Step 4: Simplify right side
    202,729.29x = 31,354,946,577.75
  5. Step 5: Solve for x
    x = 31,354,946,577.75/202,729.29
  6. Step 6: Final answer
    x = 154,664.12

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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.