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Finding the Fourth Proportional to 201,851.76, 302,814.12 and 83,458.80

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Solution

The fourth proportional to 201,851.76, 302,814.12 and 83,458.80 is: 125,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,851.76 : 302,814.12 = 83,458.80 : x
  2. Step 2: Convert to fraction form
    201,851.76/302,814.12 = 83,458.80/x
  3. Step 3: Cross multiply
    201,851.76x = 302,814.12 × 83,458.80
  4. Step 4: Simplify right side
    201,851.76x = 25,272,503,078.26
  5. Step 5: Solve for x
    x = 25,272,503,078.26/201,851.76
  6. Step 6: Final answer
    x = 125,203.28

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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.