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Finding the Fourth Proportional to 205,624.08, 308,461.50 and 100,363.50

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Solution

The fourth proportional to 205,624.08, 308,461.50 and 100,363.50 is: 150,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,624.08 : 308,461.50 = 100,363.50 : x
  2. Step 2: Convert to fraction form
    205,624.08/308,461.50 = 100,363.50/x
  3. Step 3: Cross multiply
    205,624.08x = 308,461.50 × 100,363.50
  4. Step 4: Simplify right side
    205,624.08x = 30,958,275,755.25
  5. Step 5: Solve for x
    x = 30,958,275,755.25/205,624.08
  6. Step 6: Final answer
    x = 150,557.64

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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.