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Finding the Fourth Proportional to 230,641.60, 345,847.20 and 105,841.60

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Solution

The fourth proportional to 230,641.60, 345,847.20 and 105,841.60 is: 158,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,641.60 : 345,847.20 = 105,841.60 : x
  2. Step 2: Convert to fraction form
    230,641.60/345,847.20 = 105,841.60/x
  3. Step 3: Cross multiply
    230,641.60x = 345,847.20 × 105,841.60
  4. Step 4: Simplify right side
    230,641.60x = 36,605,021,003.52
  5. Step 5: Solve for x
    x = 36,605,021,003.52/230,641.60
  6. Step 6: Final answer
    x = 158,709.53

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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.