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Finding the Fourth Proportional to 216,824.31, 325,179 and 98,469.32

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Solution

The fourth proportional to 216,824.31, 325,179 and 98,469.32 is: 147,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,824.31 : 325,179 = 98,469.32 : x
  2. Step 2: Convert to fraction form
    216,824.31/325,179 = 98,469.32/x
  3. Step 3: Cross multiply
    216,824.31x = 325,179 × 98,469.32
  4. Step 4: Simplify right side
    216,824.31x = 32,020,153,382.39
  5. Step 5: Solve for x
    x = 32,020,153,382.39/216,824.31
  6. Step 6: Final answer
    x = 147,677.88

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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.