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Finding the Fourth Proportional to 201,862.40, 302,939.40 and 113,021.60

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Solution

The fourth proportional to 201,862.40, 302,939.40 and 113,021.60 is: 169,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.40 : 302,939.40 = 113,021.60 : x
  2. Step 2: Convert to fraction form
    201,862.40/302,939.40 = 113,021.60/x
  3. Step 3: Cross multiply
    201,862.40x = 302,939.40 × 113,021.60
  4. Step 4: Simplify right side
    201,862.40x = 34,238,695,691.04
  5. Step 5: Solve for x
    x = 34,238,695,691.04/201,862.40
  6. Step 6: Final answer
    x = 169,614.03

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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.