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Finding the Fourth Proportional to 57,157.64, 85,705.11 and 17,703.80

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Solution

The fourth proportional to 57,157.64, 85,705.11 and 17,703.80 is: 26,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.64 : 85,705.11 = 17,703.80 : x
  2. Step 2: Convert to fraction form
    57,157.64/85,705.11 = 17,703.80/x
  3. Step 3: Cross multiply
    57,157.64x = 85,705.11 × 17,703.80
  4. Step 4: Simplify right side
    57,157.64x = 1,517,305,697.89
  5. Step 5: Solve for x
    x = 1,517,305,697.89/57,157.64
  6. Step 6: Final answer
    x = 26,545.98

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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.