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Finding the Fourth Proportional to 45,782.56, 68,657.52 and 20,801.68

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Solution

The fourth proportional to 45,782.56, 68,657.52 and 20,801.68 is: 31,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.56 : 68,657.52 = 20,801.68 : x
  2. Step 2: Convert to fraction form
    45,782.56/68,657.52 = 20,801.68/x
  3. Step 3: Cross multiply
    45,782.56x = 68,657.52 × 20,801.68
  4. Step 4: Simplify right side
    45,782.56x = 1,428,191,760.63
  5. Step 5: Solve for x
    x = 1,428,191,760.63/45,782.56
  6. Step 6: Final answer
    x = 31,195.10

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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.