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Finding the Fourth Proportional to 217,122.80, 325,716.60 and 76,870.40

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Solution

The fourth proportional to 217,122.80, 325,716.60 and 76,870.40 is: 115,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,122.80 : 325,716.60 = 76,870.40 : x
  2. Step 2: Convert to fraction form
    217,122.80/325,716.60 = 76,870.40/x
  3. Step 3: Cross multiply
    217,122.80x = 325,716.60 × 76,870.40
  4. Step 4: Simplify right side
    217,122.80x = 25,037,965,328.64
  5. Step 5: Solve for x
    x = 25,037,965,328.64/217,122.80
  6. Step 6: Final answer
    x = 115,317.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.