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Finding the Fourth Proportional to 218,922.94, 328,384.40 and 100,693.72

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Solution

The fourth proportional to 218,922.94, 328,384.40 and 100,693.72 is: 151,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,922.94 : 328,384.40 = 100,693.72 : x
  2. Step 2: Convert to fraction form
    218,922.94/328,384.40 = 100,693.72/x
  3. Step 3: Cross multiply
    218,922.94x = 328,384.40 × 100,693.72
  4. Step 4: Simplify right side
    218,922.94x = 33,066,246,825.97
  5. Step 5: Solve for x
    x = 33,066,246,825.97/218,922.94
  6. Step 6: Final answer
    x = 151,040.58

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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.