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Finding the Fourth Proportional to 202,436.20, 303,459.90 and 157,432.60

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Solution

The fourth proportional to 202,436.20, 303,459.90 and 157,432.60 is: 235,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436.20 : 303,459.90 = 157,432.60 : x
  2. Step 2: Convert to fraction form
    202,436.20/303,459.90 = 157,432.60/x
  3. Step 3: Cross multiply
    202,436.20x = 303,459.90 × 157,432.60
  4. Step 4: Simplify right side
    202,436.20x = 47,774,481,052.74
  5. Step 5: Solve for x
    x = 47,774,481,052.74/202,436.20
  6. Step 6: Final answer
    x = 235,997.72

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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.