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Finding the Fourth Proportional to 105,136, 145,082.28 and 57,380.20

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Solution

The fourth proportional to 105,136, 145,082.28 and 57,380.20 is: 79,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,136 : 145,082.28 = 57,380.20 : x
  2. Step 2: Convert to fraction form
    105,136/145,082.28 = 57,380.20/x
  3. Step 3: Cross multiply
    105,136x = 145,082.28 × 57,380.20
  4. Step 4: Simplify right side
    105,136x = 8,324,850,242.86
  5. Step 5: Solve for x
    x = 8,324,850,242.86/105,136
  6. Step 6: Final answer
    x = 79,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.