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Finding the Fourth Proportional to 202,697.64, 279,757.53 and 117,864

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Solution

The fourth proportional to 202,697.64, 279,757.53 and 117,864 is: 162,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,697.64 : 279,757.53 = 117,864 : x
  2. Step 2: Convert to fraction form
    202,697.64/279,757.53 = 117,864/x
  3. Step 3: Cross multiply
    202,697.64x = 279,757.53 × 117,864
  4. Step 4: Simplify right side
    202,697.64x = 32,973,341,515.92
  5. Step 5: Solve for x
    x = 32,973,341,515.92/202,697.64
  6. Step 6: Final answer
    x = 162,672.55

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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.