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Finding the Fourth Proportional to 143,221, 197,645.54 and 78,695.48

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Solution

The fourth proportional to 143,221, 197,645.54 and 78,695.48 is: 108,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,221 : 197,645.54 = 78,695.48 : x
  2. Step 2: Convert to fraction form
    143,221/197,645.54 = 78,695.48/x
  3. Step 3: Cross multiply
    143,221x = 197,645.54 × 78,695.48
  4. Step 4: Simplify right side
    143,221x = 15,553,810,640.16
  5. Step 5: Solve for x
    x = 15,553,810,640.16/143,221
  6. Step 6: Final answer
    x = 108,600.07

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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.