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Finding the Fourth Proportional to 70,883.48, 106,344.93 and 30,905.96

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Solution

The fourth proportional to 70,883.48, 106,344.93 and 30,905.96 is: 46,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,883.48 : 106,344.93 = 30,905.96 : x
  2. Step 2: Convert to fraction form
    70,883.48/106,344.93 = 30,905.96/x
  3. Step 3: Cross multiply
    70,883.48x = 106,344.93 × 30,905.96
  4. Step 4: Simplify right side
    70,883.48x = 3,286,692,376.90
  5. Step 5: Solve for x
    x = 3,286,692,376.90/70,883.48
  6. Step 6: Final answer
    x = 46,367.53

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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.