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Finding the Fourth Proportional to 202,133.90, 303,237.30 and 83,817.20

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Solution

The fourth proportional to 202,133.90, 303,237.30 and 83,817.20 is: 125,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.90 : 303,237.30 = 83,817.20 : x
  2. Step 2: Convert to fraction form
    202,133.90/303,237.30 = 83,817.20/x
  3. Step 3: Cross multiply
    202,133.90x = 303,237.30 × 83,817.20
  4. Step 4: Simplify right side
    202,133.90x = 25,416,501,421.56
  5. Step 5: Solve for x
    x = 25,416,501,421.56/202,133.90
  6. Step 6: Final answer
    x = 125,740.91

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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.