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Finding the Fourth Proportional to 70,850.16, 106,299.81 and 31,434.89

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Solution

The fourth proportional to 70,850.16, 106,299.81 and 31,434.89 is: 47,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850.16 : 106,299.81 = 31,434.89 : x
  2. Step 2: Convert to fraction form
    70,850.16/106,299.81 = 31,434.89/x
  3. Step 3: Cross multiply
    70,850.16x = 106,299.81 × 31,434.89
  4. Step 4: Simplify right side
    70,850.16x = 3,341,522,302.87
  5. Step 5: Solve for x
    x = 3,341,522,302.87/70,850.16
  6. Step 6: Final answer
    x = 47,163.23

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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.