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Finding the Fourth Proportional to 70,535.78, 105,729.27 and 23,138.49

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Solution

The fourth proportional to 70,535.78, 105,729.27 and 23,138.49 is: 34,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,535.78 : 105,729.27 = 23,138.49 : x
  2. Step 2: Convert to fraction form
    70,535.78/105,729.27 = 23,138.49/x
  3. Step 3: Cross multiply
    70,535.78x = 105,729.27 × 23,138.49
  4. Step 4: Simplify right side
    70,535.78x = 2,446,415,656.60
  5. Step 5: Solve for x
    x = 2,446,415,656.60/70,535.78
  6. Step 6: Final answer
    x = 34,683.33

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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.