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Finding the Fourth Proportional to 201,851.78, 302,551.37 and 81,880.86

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Solution

The fourth proportional to 201,851.78, 302,551.37 and 81,880.86 is: 122,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,851.78 : 302,551.37 = 81,880.86 : x
  2. Step 2: Convert to fraction form
    201,851.78/302,551.37 = 81,880.86/x
  3. Step 3: Cross multiply
    201,851.78x = 302,551.37 × 81,880.86
  4. Step 4: Simplify right side
    201,851.78x = 24,773,165,132.86
  5. Step 5: Solve for x
    x = 24,773,165,132.86/201,851.78
  6. Step 6: Final answer
    x = 122,729.49

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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.