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Finding the Fourth Proportional to 77,355, 106,749.90 and 43,821

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Solution

The fourth proportional to 77,355, 106,749.90 and 43,821 is: 60,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355 : 106,749.90 = 43,821 : x
  2. Step 2: Convert to fraction form
    77,355/106,749.90 = 43,821/x
  3. Step 3: Cross multiply
    77,355x = 106,749.90 × 43,821
  4. Step 4: Simplify right side
    77,355x = 4,677,887,367.90
  5. Step 5: Solve for x
    x = 4,677,887,367.90/77,355
  6. Step 6: Final answer
    x = 60,472.98

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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.