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Finding the Fourth Proportional to 201,534.80, 302,229.30 and 81,541.40

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Solution

The fourth proportional to 201,534.80, 302,229.30 and 81,541.40 is: 122,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,534.80 : 302,229.30 = 81,541.40 : x
  2. Step 2: Convert to fraction form
    201,534.80/302,229.30 = 81,541.40/x
  3. Step 3: Cross multiply
    201,534.80x = 302,229.30 × 81,541.40
  4. Step 4: Simplify right side
    201,534.80x = 24,644,200,243.02
  5. Step 5: Solve for x
    x = 24,644,200,243.02/201,534.80
  6. Step 6: Final answer
    x = 122,282.60

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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.