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Finding the Fourth Proportional to 202,538.40, 303,564.60 and 84,148.80

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Solution

The fourth proportional to 202,538.40, 303,564.60 and 84,148.80 is: 126,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.40 : 303,564.60 = 84,148.80 : x
  2. Step 2: Convert to fraction form
    202,538.40/303,564.60 = 84,148.80/x
  3. Step 3: Cross multiply
    202,538.40x = 303,564.60 × 84,148.80
  4. Step 4: Simplify right side
    202,538.40x = 25,544,596,812.48
  5. Step 5: Solve for x
    x = 25,544,596,812.48/202,538.40
  6. Step 6: Final answer
    x = 126,122.24

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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.