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Finding the Fourth Proportional to 105,551.40, 158,299.42 and 30,651.44

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Solution

The fourth proportional to 105,551.40, 158,299.42 and 30,651.44 is: 45,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,551.40 : 158,299.42 = 30,651.44 : x
  2. Step 2: Convert to fraction form
    105,551.40/158,299.42 = 30,651.44/x
  3. Step 3: Cross multiply
    105,551.40x = 158,299.42 × 30,651.44
  4. Step 4: Simplify right side
    105,551.40x = 4,852,105,174.16
  5. Step 5: Solve for x
    x = 4,852,105,174.16/105,551.40
  6. Step 6: Final answer
    x = 45,969.12

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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.