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Finding the Fourth Proportional to 147,946, 204,165.48 and 80,878

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Solution

The fourth proportional to 147,946, 204,165.48 and 80,878 is: 111,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,946 : 204,165.48 = 80,878 : x
  2. Step 2: Convert to fraction form
    147,946/204,165.48 = 80,878/x
  3. Step 3: Cross multiply
    147,946x = 204,165.48 × 80,878
  4. Step 4: Simplify right side
    147,946x = 16,512,495,691.44
  5. Step 5: Solve for x
    x = 16,512,495,691.44/147,946
  6. Step 6: Final answer
    x = 111,611.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.