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Finding the Fourth Proportional to 216,952, 325,433.76 and 69,208

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Solution

The fourth proportional to 216,952, 325,433.76 and 69,208 is: 103,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,952 : 325,433.76 = 69,208 : x
  2. Step 2: Convert to fraction form
    216,952/325,433.76 = 69,208/x
  3. Step 3: Cross multiply
    216,952x = 325,433.76 × 69,208
  4. Step 4: Simplify right side
    216,952x = 22,522,619,662.08
  5. Step 5: Solve for x
    x = 22,522,619,662.08/216,952
  6. Step 6: Final answer
    x = 103,813.84

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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.