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Finding the Fourth Proportional to 201,645.42, 302,536.53 and 89,310.54

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Solution

The fourth proportional to 201,645.42, 302,536.53 and 89,310.54 is: 133,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.42 : 302,536.53 = 89,310.54 : x
  2. Step 2: Convert to fraction form
    201,645.42/302,536.53 = 89,310.54/x
  3. Step 3: Cross multiply
    201,645.42x = 302,536.53 × 89,310.54
  4. Step 4: Simplify right side
    201,645.42x = 27,019,700,864.03
  5. Step 5: Solve for x
    x = 27,019,700,864.03/201,645.42
  6. Step 6: Final answer
    x = 133,996.10

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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.