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Finding the Fourth Proportional to 70,067.56, 105,078.78 and 23,307.88

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Solution

The fourth proportional to 70,067.56, 105,078.78 and 23,307.88 is: 34,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,067.56 : 105,078.78 = 23,307.88 : x
  2. Step 2: Convert to fraction form
    70,067.56/105,078.78 = 23,307.88/x
  3. Step 3: Cross multiply
    70,067.56x = 105,078.78 × 23,307.88
  4. Step 4: Simplify right side
    70,067.56x = 2,449,163,594.79
  5. Step 5: Solve for x
    x = 2,449,163,594.79/70,067.56
  6. Step 6: Final answer
    x = 34,954.32

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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.