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Finding the Fourth Proportional to 85,861.53, 128,777.72 and 22,682.34

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Solution

The fourth proportional to 85,861.53, 128,777.72 and 22,682.34 is: 34,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861.53 : 128,777.72 = 22,682.34 : x
  2. Step 2: Convert to fraction form
    85,861.53/128,777.72 = 22,682.34/x
  3. Step 3: Cross multiply
    85,861.53x = 128,777.72 × 22,682.34
  4. Step 4: Simplify right side
    85,861.53x = 2,920,979,916.05
  5. Step 5: Solve for x
    x = 2,920,979,916.05/85,861.53
  6. Step 6: Final answer
    x = 34,019.66

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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.