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Finding the Fourth Proportional to 201,862.02, 302,801.40 and 75,489.60

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Solution

The fourth proportional to 201,862.02, 302,801.40 and 75,489.60 is: 113,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.02 : 302,801.40 = 75,489.60 : x
  2. Step 2: Convert to fraction form
    201,862.02/302,801.40 = 75,489.60/x
  3. Step 3: Cross multiply
    201,862.02x = 302,801.40 × 75,489.60
  4. Step 4: Simplify right side
    201,862.02x = 22,858,356,565.44
  5. Step 5: Solve for x
    x = 22,858,356,565.44/201,862.02
  6. Step 6: Final answer
    x = 113,237.53

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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.