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Finding the Fourth Proportional to 197,220.80, 295,393.80 and 78,831.20

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Solution

The fourth proportional to 197,220.80, 295,393.80 and 78,831.20 is: 118,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,220.80 : 295,393.80 = 78,831.20 : x
  2. Step 2: Convert to fraction form
    197,220.80/295,393.80 = 78,831.20/x
  3. Step 3: Cross multiply
    197,220.80x = 295,393.80 × 78,831.20
  4. Step 4: Simplify right side
    197,220.80x = 23,286,247,726.56
  5. Step 5: Solve for x
    x = 23,286,247,726.56/197,220.80
  6. Step 6: Final answer
    x = 118,071.97

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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.