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Finding the Fourth Proportional to 202,441.20, 303,911.40 and 127,561.20

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Solution

The fourth proportional to 202,441.20, 303,911.40 and 127,561.20 is: 191,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,441.20 : 303,911.40 = 127,561.20 : x
  2. Step 2: Convert to fraction form
    202,441.20/303,911.40 = 127,561.20/x
  3. Step 3: Cross multiply
    202,441.20x = 303,911.40 × 127,561.20
  4. Step 4: Simplify right side
    202,441.20x = 38,767,302,877.68
  5. Step 5: Solve for x
    x = 38,767,302,877.68/202,441.20
  6. Step 6: Final answer
    x = 191,499.08

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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.