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Finding the Fourth Proportional to 217,140.32, 299,652 and 121,647.80

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Solution

The fourth proportional to 217,140.32, 299,652 and 121,647.80 is: 167,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,140.32 : 299,652 = 121,647.80 : x
  2. Step 2: Convert to fraction form
    217,140.32/299,652 = 121,647.80/x
  3. Step 3: Cross multiply
    217,140.32x = 299,652 × 121,647.80
  4. Step 4: Simplify right side
    217,140.32x = 36,452,006,565.60
  5. Step 5: Solve for x
    x = 36,452,006,565.60/217,140.32
  6. Step 6: Final answer
    x = 167,873.04

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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.