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Finding the Fourth Proportional to 213,851.80, 320,432.10 and 134,824.60

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Solution

The fourth proportional to 213,851.80, 320,432.10 and 134,824.60 is: 202,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,851.80 : 320,432.10 = 134,824.60 : x
  2. Step 2: Convert to fraction form
    213,851.80/320,432.10 = 134,824.60/x
  3. Step 3: Cross multiply
    213,851.80x = 320,432.10 × 134,824.60
  4. Step 4: Simplify right side
    213,851.80x = 43,202,129,709.66
  5. Step 5: Solve for x
    x = 43,202,129,709.66/213,851.80
  6. Step 6: Final answer
    x = 202,019.01

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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.