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Finding the Fourth Proportional to 205,846.40, 308,769.60 and 105,867.20

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Solution

The fourth proportional to 205,846.40, 308,769.60 and 105,867.20 is: 158,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.40 : 308,769.60 = 105,867.20 : x
  2. Step 2: Convert to fraction form
    205,846.40/308,769.60 = 105,867.20/x
  3. Step 3: Cross multiply
    205,846.40x = 308,769.60 × 105,867.20
  4. Step 4: Simplify right side
    205,846.40x = 32,688,572,997.12
  5. Step 5: Solve for x
    x = 32,688,572,997.12/205,846.40
  6. Step 6: Final answer
    x = 158,800.80

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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.