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Finding the Fourth Proportional to 198,970.48, 298,393.80 and 65,820.88

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Solution

The fourth proportional to 198,970.48, 298,393.80 and 65,820.88 is: 98,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,970.48 : 298,393.80 = 65,820.88 : x
  2. Step 2: Convert to fraction form
    198,970.48/298,393.80 = 65,820.88/x
  3. Step 3: Cross multiply
    198,970.48x = 298,393.80 × 65,820.88
  4. Step 4: Simplify right side
    198,970.48x = 19,640,542,502.54
  5. Step 5: Solve for x
    x = 19,640,542,502.54/198,970.48
  6. Step 6: Final answer
    x = 98,710.84

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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.