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Finding the Fourth Proportional to 202,140.20, 302,772.90 and 179,978.60

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Solution

The fourth proportional to 202,140.20, 302,772.90 and 179,978.60 is: 269,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140.20 : 302,772.90 = 179,978.60 : x
  2. Step 2: Convert to fraction form
    202,140.20/302,772.90 = 179,978.60/x
  3. Step 3: Cross multiply
    202,140.20x = 302,772.90 × 179,978.60
  4. Step 4: Simplify right side
    202,140.20x = 54,492,642,659.94
  5. Step 5: Solve for x
    x = 54,492,642,659.94/202,140.20
  6. Step 6: Final answer
    x = 269,578.45

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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.