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Finding the Fourth Proportional to 47,874.80, 71,815.32 and 39,090.80

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Solution

The fourth proportional to 47,874.80, 71,815.32 and 39,090.80 is: 58,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.80 : 71,815.32 = 39,090.80 : x
  2. Step 2: Convert to fraction form
    47,874.80/71,815.32 = 39,090.80/x
  3. Step 3: Cross multiply
    47,874.80x = 71,815.32 × 39,090.80
  4. Step 4: Simplify right side
    47,874.80x = 2,807,318,311.06
  5. Step 5: Solve for x
    x = 2,807,318,311.06/47,874.80
  6. Step 6: Final answer
    x = 58,638.75

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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.