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Finding the Fourth Proportional to 203,796.80, 305,695.20 and 98,820.80

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Solution

The fourth proportional to 203,796.80, 305,695.20 and 98,820.80 is: 148,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796.80 : 305,695.20 = 98,820.80 : x
  2. Step 2: Convert to fraction form
    203,796.80/305,695.20 = 98,820.80/x
  3. Step 3: Cross multiply
    203,796.80x = 305,695.20 × 98,820.80
  4. Step 4: Simplify right side
    203,796.80x = 30,209,044,220.16
  5. Step 5: Solve for x
    x = 30,209,044,220.16/203,796.80
  6. Step 6: Final answer
    x = 148,231.20

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1.5x scale

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.