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Finding the Fourth Proportional to 217,140.82, 299,652.69 and 121,648.30

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Solution

The fourth proportional to 217,140.82, 299,652.69 and 121,648.30 is: 167,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,140.82 : 299,652.69 = 121,648.30 : x
  2. Step 2: Convert to fraction form
    217,140.82/299,652.69 = 121,648.30/x
  3. Step 3: Cross multiply
    217,140.82x = 299,652.69 × 121,648.30
  4. Step 4: Simplify right side
    217,140.82x = 36,452,240,328.93
  5. Step 5: Solve for x
    x = 36,452,240,328.93/217,140.82
  6. Step 6: Final answer
    x = 167,873.73

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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.