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Finding the Fourth Proportional to 57,254.64, 85,891.14 and 17,820.90

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Solution

The fourth proportional to 57,254.64, 85,891.14 and 17,820.90 is: 26,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254.64 : 85,891.14 = 17,820.90 : x
  2. Step 2: Convert to fraction form
    57,254.64/85,891.14 = 17,820.90/x
  3. Step 3: Cross multiply
    57,254.64x = 85,891.14 × 17,820.90
  4. Step 4: Simplify right side
    57,254.64x = 1,530,657,416.83
  5. Step 5: Solve for x
    x = 1,530,657,416.83/57,254.64
  6. Step 6: Final answer
    x = 26,734.21

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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.