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Finding the Fourth Proportional to 105,393.43, 145,441.87 and 57,647.71

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Solution

The fourth proportional to 105,393.43, 145,441.87 and 57,647.71 is: 79,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,393.43 : 145,441.87 = 57,647.71 : x
  2. Step 2: Convert to fraction form
    105,393.43/145,441.87 = 57,647.71/x
  3. Step 3: Cross multiply
    105,393.43x = 145,441.87 × 57,647.71
  4. Step 4: Simplify right side
    105,393.43x = 8,384,390,743.62
  5. Step 5: Solve for x
    x = 8,384,390,743.62/105,393.43
  6. Step 6: Final answer
    x = 79,553.26

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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.