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Finding the Fourth Proportional to 143,071.53, 214,189.80 and 107,206.97

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Solution

The fourth proportional to 143,071.53, 214,189.80 and 107,206.97 is: 160,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,071.53 : 214,189.80 = 107,206.97 : x
  2. Step 2: Convert to fraction form
    143,071.53/214,189.80 = 107,206.97/x
  3. Step 3: Cross multiply
    143,071.53x = 214,189.80 × 107,206.97
  4. Step 4: Simplify right side
    143,071.53x = 22,962,638,391.96
  5. Step 5: Solve for x
    x = 22,962,638,391.96/143,071.53
  6. Step 6: Final answer
    x = 160,497.61

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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.