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Finding the Fourth Proportional to 217,646.81, 300,367.47 and 120,855.66

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Solution

The fourth proportional to 217,646.81, 300,367.47 and 120,855.66 is: 166,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,646.81 : 300,367.47 = 120,855.66 : x
  2. Step 2: Convert to fraction form
    217,646.81/300,367.47 = 120,855.66/x
  3. Step 3: Cross multiply
    217,646.81x = 300,367.47 × 120,855.66
  4. Step 4: Simplify right side
    217,646.81x = 36,301,108,829.38
  5. Step 5: Solve for x
    x = 36,301,108,829.38/217,646.81
  6. Step 6: Final answer
    x = 166,789.07

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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.