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Finding the Fourth Proportional to 217,679.80, 300,389.43 and 120,888.65

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Solution

The fourth proportional to 217,679.80, 300,389.43 and 120,888.65 is: 166,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,679.80 : 300,389.43 = 120,888.65 : x
  2. Step 2: Convert to fraction form
    217,679.80/300,389.43 = 120,888.65/x
  3. Step 3: Cross multiply
    217,679.80x = 300,389.43 × 120,888.65
  4. Step 4: Simplify right side
    217,679.80x = 36,313,671,165.02
  5. Step 5: Solve for x
    x = 36,313,671,165.02/217,679.80
  6. Step 6: Final answer
    x = 166,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.