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Finding the Fourth Proportional to 209,933.80, 314,699.10 and 69,620.20

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Solution

The fourth proportional to 209,933.80, 314,699.10 and 69,620.20 is: 104,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,933.80 : 314,699.10 = 69,620.20 : x
  2. Step 2: Convert to fraction form
    209,933.80/314,699.10 = 69,620.20/x
  3. Step 3: Cross multiply
    209,933.80x = 314,699.10 × 69,620.20
  4. Step 4: Simplify right side
    209,933.80x = 21,909,414,281.82
  5. Step 5: Solve for x
    x = 21,909,414,281.82/209,933.80
  6. Step 6: Final answer
    x = 104,363.44

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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.