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Finding the Fourth Proportional to 217,281.10, 325,812.30 and 128,561.80

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Solution

The fourth proportional to 217,281.10, 325,812.30 and 128,561.80 is: 192,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,281.10 : 325,812.30 = 128,561.80 : x
  2. Step 2: Convert to fraction form
    217,281.10/325,812.30 = 128,561.80/x
  3. Step 3: Cross multiply
    217,281.10x = 325,812.30 × 128,561.80
  4. Step 4: Simplify right side
    217,281.10x = 41,887,015,750.14
  5. Step 5: Solve for x
    x = 41,887,015,750.14/217,281.10
  6. Step 6: Final answer
    x = 192,778.00

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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.