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Finding the Fourth Proportional to 70,408.90, 105,578.79 and 34,829.11

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Solution

The fourth proportional to 70,408.90, 105,578.79 and 34,829.11 is: 52,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.90 : 105,578.79 = 34,829.11 : x
  2. Step 2: Convert to fraction form
    70,408.90/105,578.79 = 34,829.11/x
  3. Step 3: Cross multiply
    70,408.90x = 105,578.79 × 34,829.11
  4. Step 4: Simplify right side
    70,408.90x = 3,677,215,290.58
  5. Step 5: Solve for x
    x = 3,677,215,290.58/70,408.90
  6. Step 6: Final answer
    x = 52,226.57

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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.