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Finding the Fourth Proportional to 145,468.80, 218,203.20 and 122,659.20

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Solution

The fourth proportional to 145,468.80, 218,203.20 and 122,659.20 is: 183,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,468.80 : 218,203.20 = 122,659.20 : x
  2. Step 2: Convert to fraction form
    145,468.80/218,203.20 = 122,659.20/x
  3. Step 3: Cross multiply
    145,468.80x = 218,203.20 × 122,659.20
  4. Step 4: Simplify right side
    145,468.80x = 26,764,629,949.44
  5. Step 5: Solve for x
    x = 26,764,629,949.44/145,468.80
  6. Step 6: Final answer
    x = 183,988.80

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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.