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Finding the Fourth Proportional to 202,758.78, 279,807.24 and 113,334.78

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Solution

The fourth proportional to 202,758.78, 279,807.24 and 113,334.78 is: 156,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,758.78 : 279,807.24 = 113,334.78 : x
  2. Step 2: Convert to fraction form
    202,758.78/279,807.24 = 113,334.78/x
  3. Step 3: Cross multiply
    202,758.78x = 279,807.24 × 113,334.78
  4. Step 4: Simplify right side
    202,758.78x = 31,711,891,987.81
  5. Step 5: Solve for x
    x = 31,711,891,987.81/202,758.78
  6. Step 6: Final answer
    x = 156,402.07

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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.