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Finding the Fourth Proportional to 253,871.37, 380,812.46 and 85,396.77

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Solution

The fourth proportional to 253,871.37, 380,812.46 and 85,396.77 is: 128,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,871.37 : 380,812.46 = 85,396.77 : x
  2. Step 2: Convert to fraction form
    253,871.37/380,812.46 = 85,396.77/x
  3. Step 3: Cross multiply
    253,871.37x = 380,812.46 × 85,396.77
  4. Step 4: Simplify right side
    253,871.37x = 32,520,153,632.77
  5. Step 5: Solve for x
    x = 32,520,153,632.77/253,871.37
  6. Step 6: Final answer
    x = 128,096.97

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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.