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Finding the Fourth Proportional to 202,543.43, 279,515.57 and 111,905.24

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Solution

The fourth proportional to 202,543.43, 279,515.57 and 111,905.24 is: 154,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,543.43 : 279,515.57 = 111,905.24 : x
  2. Step 2: Convert to fraction form
    202,543.43/279,515.57 = 111,905.24/x
  3. Step 3: Cross multiply
    202,543.43x = 279,515.57 × 111,905.24
  4. Step 4: Simplify right side
    202,543.43x = 31,279,254,987.48
  5. Step 5: Solve for x
    x = 31,279,254,987.48/202,543.43
  6. Step 6: Final answer
    x = 154,432.34

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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.