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Finding the Fourth Proportional to 217,119.80, 325,631.10 and 142,761.80

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Solution

The fourth proportional to 217,119.80, 325,631.10 and 142,761.80 is: 214,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,119.80 : 325,631.10 = 142,761.80 : x
  2. Step 2: Convert to fraction form
    217,119.80/325,631.10 = 142,761.80/x
  3. Step 3: Cross multiply
    217,119.80x = 325,631.10 × 142,761.80
  4. Step 4: Simplify right side
    217,119.80x = 46,487,681,971.98
  5. Step 5: Solve for x
    x = 46,487,681,971.98/217,119.80
  6. Step 6: Final answer
    x = 214,110.74

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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.