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Finding the Fourth Proportional to 230,643.60, 345,850.20 and 105,843.60

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Solution

The fourth proportional to 230,643.60, 345,850.20 and 105,843.60 is: 158,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.60 : 345,850.20 = 105,843.60 : x
  2. Step 2: Convert to fraction form
    230,643.60/345,850.20 = 105,843.60/x
  3. Step 3: Cross multiply
    230,643.60x = 345,850.20 × 105,843.60
  4. Step 4: Simplify right side
    230,643.60x = 36,606,030,228.72
  5. Step 5: Solve for x
    x = 36,606,030,228.72/230,643.60
  6. Step 6: Final answer
    x = 158,712.53

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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.