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Finding the Fourth Proportional to 202,157.70, 303,309.45 and 83,865.30

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Solution

The fourth proportional to 202,157.70, 303,309.45 and 83,865.30 is: 125,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157.70 : 303,309.45 = 83,865.30 : x
  2. Step 2: Convert to fraction form
    202,157.70/303,309.45 = 83,865.30/x
  3. Step 3: Cross multiply
    202,157.70x = 303,309.45 × 83,865.30
  4. Step 4: Simplify right side
    202,157.70x = 25,437,138,017.09
  5. Step 5: Solve for x
    x = 25,437,138,017.09/202,157.70
  6. Step 6: Final answer
    x = 125,828.19

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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.