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Finding the Fourth Proportional to 209,410.98, 313,935.03 and 84,670.98

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Solution

The fourth proportional to 209,410.98, 313,935.03 and 84,670.98 is: 126,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410.98 : 313,935.03 = 84,670.98 : x
  2. Step 2: Convert to fraction form
    209,410.98/313,935.03 = 84,670.98/x
  3. Step 3: Cross multiply
    209,410.98x = 313,935.03 × 84,670.98
  4. Step 4: Simplify right side
    209,410.98x = 26,581,186,646.43
  5. Step 5: Solve for x
    x = 26,581,186,646.43/209,410.98
  6. Step 6: Final answer
    x = 126,933.11

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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.