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Finding the Fourth Proportional to 202,066.40, 303,070.80 and 68,952.80

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Solution

The fourth proportional to 202,066.40, 303,070.80 and 68,952.80 is: 103,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,066.40 : 303,070.80 = 68,952.80 : x
  2. Step 2: Convert to fraction form
    202,066.40/303,070.80 = 68,952.80/x
  3. Step 3: Cross multiply
    202,066.40x = 303,070.80 × 68,952.80
  4. Step 4: Simplify right side
    202,066.40x = 20,897,580,258.24
  5. Step 5: Solve for x
    x = 20,897,580,258.24/202,066.40
  6. Step 6: Final answer
    x = 103,419.37

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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.