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Finding the Fourth Proportional to 105,161.53, 145,122.16 and 57,414.88

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Solution

The fourth proportional to 105,161.53, 145,122.16 and 57,414.88 is: 79,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,161.53 : 145,122.16 = 57,414.88 : x
  2. Step 2: Convert to fraction form
    105,161.53/145,122.16 = 57,414.88/x
  3. Step 3: Cross multiply
    105,161.53x = 145,122.16 × 57,414.88
  4. Step 4: Simplify right side
    105,161.53x = 8,332,171,401.74
  5. Step 5: Solve for x
    x = 8,332,171,401.74/105,161.53
  6. Step 6: Final answer
    x = 79,232.12

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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.