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Finding the Fourth Proportional to 49,891.80, 74,837.70 and 48,142.20

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Solution

The fourth proportional to 49,891.80, 74,837.70 and 48,142.20 is: 72,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.80 : 74,837.70 = 48,142.20 : x
  2. Step 2: Convert to fraction form
    49,891.80/74,837.70 = 48,142.20/x
  3. Step 3: Cross multiply
    49,891.80x = 74,837.70 × 48,142.20
  4. Step 4: Simplify right side
    49,891.80x = 3,602,851,520.94
  5. Step 5: Solve for x
    x = 3,602,851,520.94/49,891.80
  6. Step 6: Final answer
    x = 72,213.30

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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.