Home / 205,904.70-308,971.26-100,724.58

Finding the Fourth Proportional to 205,904.70, 308,971.26 and 100,724.58

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Solution

The fourth proportional to 205,904.70, 308,971.26 and 100,724.58 is: 151,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904.70 : 308,971.26 = 100,724.58 : x
  2. Step 2: Convert to fraction form
    205,904.70/308,971.26 = 100,724.58/x
  3. Step 3: Cross multiply
    205,904.70x = 308,971.26 × 100,724.58
  4. Step 4: Simplify right side
    205,904.70x = 31,121,000,395.57
  5. Step 5: Solve for x
    x = 31,121,000,395.57/205,904.70
  6. Step 6: Final answer
    x = 151,142.74

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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.