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Finding the Fourth Proportional to 70,333.22, 105,515.22 and 20,414

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Solution

The fourth proportional to 70,333.22, 105,515.22 and 20,414 is: 30,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,333.22 : 105,515.22 = 20,414 : x
  2. Step 2: Convert to fraction form
    70,333.22/105,515.22 = 20,414/x
  3. Step 3: Cross multiply
    70,333.22x = 105,515.22 × 20,414
  4. Step 4: Simplify right side
    70,333.22x = 2,153,987,701.08
  5. Step 5: Solve for x
    x = 2,153,987,701.08/70,333.22
  6. Step 6: Final answer
    x = 30,625.47

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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.