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Finding the Fourth Proportional to 218,825.64, 328,293.76 and 61,054

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Solution

The fourth proportional to 218,825.64, 328,293.76 and 61,054 is: 91,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825.64 : 328,293.76 = 61,054 : x
  2. Step 2: Convert to fraction form
    218,825.64/328,293.76 = 61,054/x
  3. Step 3: Cross multiply
    218,825.64x = 328,293.76 × 61,054
  4. Step 4: Simplify right side
    218,825.64x = 20,043,647,223.04
  5. Step 5: Solve for x
    x = 20,043,647,223.04/218,825.64
  6. Step 6: Final answer
    x = 91,596.43

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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.