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Finding the Fourth Proportional to 202,507.60, 303,761.40 and 165,109.90

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Solution

The fourth proportional to 202,507.60, 303,761.40 and 165,109.90 is: 247,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,507.60 : 303,761.40 = 165,109.90 : x
  2. Step 2: Convert to fraction form
    202,507.60/303,761.40 = 165,109.90/x
  3. Step 3: Cross multiply
    202,507.60x = 303,761.40 × 165,109.90
  4. Step 4: Simplify right side
    202,507.60x = 50,154,014,377.86
  5. Step 5: Solve for x
    x = 50,154,014,377.86/202,507.60
  6. Step 6: Final answer
    x = 247,664.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.