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Finding the Fourth Proportional to 202,141.40, 302,969.10 and 83,751.80

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Solution

The fourth proportional to 202,141.40, 302,969.10 and 83,751.80 is: 125,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.40 : 302,969.10 = 83,751.80 : x
  2. Step 2: Convert to fraction form
    202,141.40/302,969.10 = 83,751.80/x
  3. Step 3: Cross multiply
    202,141.40x = 302,969.10 × 83,751.80
  4. Step 4: Simplify right side
    202,141.40x = 25,374,207,469.38
  5. Step 5: Solve for x
    x = 25,374,207,469.38/202,141.40
  6. Step 6: Final answer
    x = 125,527.02

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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.