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Finding the Fourth Proportional to 67,859.70, 101,757.16 and 30,420.06

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Solution

The fourth proportional to 67,859.70, 101,757.16 and 30,420.06 is: 45,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,859.70 : 101,757.16 = 30,420.06 : x
  2. Step 2: Convert to fraction form
    67,859.70/101,757.16 = 30,420.06/x
  3. Step 3: Cross multiply
    67,859.70x = 101,757.16 × 30,420.06
  4. Step 4: Simplify right side
    67,859.70x = 3,095,458,912.63
  5. Step 5: Solve for x
    x = 3,095,458,912.63/67,859.70
  6. Step 6: Final answer
    x = 45,615.57

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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.