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Finding the Fourth Proportional to 217,564.71, 300,234.55 and 120,762.88

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Solution

The fourth proportional to 217,564.71, 300,234.55 and 120,762.88 is: 166,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,564.71 : 300,234.55 = 120,762.88 : x
  2. Step 2: Convert to fraction form
    217,564.71/300,234.55 = 120,762.88/x
  3. Step 3: Cross multiply
    217,564.71x = 300,234.55 × 120,762.88
  4. Step 4: Simplify right side
    217,564.71x = 36,257,188,933.50
  5. Step 5: Solve for x
    x = 36,257,188,933.50/217,564.71
  6. Step 6: Final answer
    x = 166,650.14

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1.5x scale

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.