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Finding the Fourth Proportional to 218,940.86, 328,425.16 and 92,564.48

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Solution

The fourth proportional to 218,940.86, 328,425.16 and 92,564.48 is: 138,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,940.86 : 328,425.16 = 92,564.48 : x
  2. Step 2: Convert to fraction form
    218,940.86/328,425.16 = 92,564.48/x
  3. Step 3: Cross multiply
    218,940.86x = 328,425.16 × 92,564.48
  4. Step 4: Simplify right side
    218,940.86x = 30,400,504,154.32
  5. Step 5: Solve for x
    x = 30,400,504,154.32/218,940.86
  6. Step 6: Final answer
    x = 138,852.58

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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.