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Finding the Fourth Proportional to 202,421.50, 303,245.86 and 113,405.74

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Solution

The fourth proportional to 202,421.50, 303,245.86 and 113,405.74 is: 169,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421.50 : 303,245.86 = 113,405.74 : x
  2. Step 2: Convert to fraction form
    202,421.50/303,245.86 = 113,405.74/x
  3. Step 3: Cross multiply
    202,421.50x = 303,245.86 × 113,405.74
  4. Step 4: Simplify right side
    202,421.50x = 34,389,821,155.24
  5. Step 5: Solve for x
    x = 34,389,821,155.24/202,421.50
  6. Step 6: Final answer
    x = 169,892.14

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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.