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Finding the Fourth Proportional to 202,353.70, 279,248.52 and 111,709.78

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Solution

The fourth proportional to 202,353.70, 279,248.52 and 111,709.78 is: 154,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353.70 : 279,248.52 = 111,709.78 : x
  2. Step 2: Convert to fraction form
    202,353.70/279,248.52 = 111,709.78/x
  3. Step 3: Cross multiply
    202,353.70x = 279,248.52 × 111,709.78
  4. Step 4: Simplify right side
    202,353.70x = 31,194,790,734.53
  5. Step 5: Solve for x
    x = 31,194,790,734.53/202,353.70
  6. Step 6: Final answer
    x = 154,159.72

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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.