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Finding the Fourth Proportional to 77,333.72, 106,729.38 and 43,351.38

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Solution

The fourth proportional to 77,333.72, 106,729.38 and 43,351.38 is: 59,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.72 : 106,729.38 = 43,351.38 : x
  2. Step 2: Convert to fraction form
    77,333.72/106,729.38 = 43,351.38/x
  3. Step 3: Cross multiply
    77,333.72x = 106,729.38 × 43,351.38
  4. Step 4: Simplify right side
    77,333.72x = 4,626,865,909.54
  5. Step 5: Solve for x
    x = 4,626,865,909.54/77,333.72
  6. Step 6: Final answer
    x = 59,829.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.