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Finding the Fourth Proportional to 47,693.20, 71,539.80 and 28,010.20

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Solution

The fourth proportional to 47,693.20, 71,539.80 and 28,010.20 is: 42,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.20 : 71,539.80 = 28,010.20 : x
  2. Step 2: Convert to fraction form
    47,693.20/71,539.80 = 28,010.20/x
  3. Step 3: Cross multiply
    47,693.20x = 71,539.80 × 28,010.20
  4. Step 4: Simplify right side
    47,693.20x = 2,003,844,105.96
  5. Step 5: Solve for x
    x = 2,003,844,105.96/47,693.20
  6. Step 6: Final answer
    x = 42,015.30

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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.