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Finding the Fourth Proportional to 202,396.74, 279,190.42 and 130,776.76

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Solution

The fourth proportional to 202,396.74, 279,190.42 and 130,776.76 is: 180,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.74 : 279,190.42 = 130,776.76 : x
  2. Step 2: Convert to fraction form
    202,396.74/279,190.42 = 130,776.76/x
  3. Step 3: Cross multiply
    202,396.74x = 279,190.42 × 130,776.76
  4. Step 4: Simplify right side
    202,396.74x = 36,511,618,572.69
  5. Step 5: Solve for x
    x = 36,511,618,572.69/202,396.74
  6. Step 6: Final answer
    x = 180,396.28

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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.