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Finding the Fourth Proportional to 201,988.30, 302,990.10 and 75,615.24

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Solution

The fourth proportional to 201,988.30, 302,990.10 and 75,615.24 is: 113,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,988.30 : 302,990.10 = 75,615.24 : x
  2. Step 2: Convert to fraction form
    201,988.30/302,990.10 = 75,615.24/x
  3. Step 3: Cross multiply
    201,988.30x = 302,990.10 × 75,615.24
  4. Step 4: Simplify right side
    201,988.30x = 22,910,669,129.12
  5. Step 5: Solve for x
    x = 22,910,669,129.12/201,988.30
  6. Step 6: Final answer
    x = 113,425.72

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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.