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Finding the Fourth Proportional to 143,604.54, 214,937.24 and 105,643.71

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Solution

The fourth proportional to 143,604.54, 214,937.24 and 105,643.71 is: 158,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,604.54 : 214,937.24 = 105,643.71 : x
  2. Step 2: Convert to fraction form
    143,604.54/214,937.24 = 105,643.71/x
  3. Step 3: Cross multiply
    143,604.54x = 214,937.24 × 105,643.71
  4. Step 4: Simplify right side
    143,604.54x = 22,706,766,922.54
  5. Step 5: Solve for x
    x = 22,706,766,922.54/143,604.54
  6. Step 6: Final answer
    x = 158,120.12

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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.