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Finding the Fourth Proportional to 205,915.59, 308,785.91 and 70,994.43

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Solution

The fourth proportional to 205,915.59, 308,785.91 and 70,994.43 is: 106,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.59 : 308,785.91 = 70,994.43 : x
  2. Step 2: Convert to fraction form
    205,915.59/308,785.91 = 70,994.43/x
  3. Step 3: Cross multiply
    205,915.59x = 308,785.91 × 70,994.43
  4. Step 4: Simplify right side
    205,915.59x = 21,922,079,317.51
  5. Step 5: Solve for x
    x = 21,922,079,317.51/205,915.59
  6. Step 6: Final answer
    x = 106,461.48

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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.