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Finding the Fourth Proportional to 202,748.80, 279,782.04 and 112,099.32

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Solution

The fourth proportional to 202,748.80, 279,782.04 and 112,099.32 is: 154,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,748.80 : 279,782.04 = 112,099.32 : x
  2. Step 2: Convert to fraction form
    202,748.80/279,782.04 = 112,099.32/x
  3. Step 3: Cross multiply
    202,748.80x = 279,782.04 × 112,099.32
  4. Step 4: Simplify right side
    202,748.80x = 31,363,375,750.42
  5. Step 5: Solve for x
    x = 31,363,375,750.42/202,748.80
  6. Step 6: Final answer
    x = 154,690.81

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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.