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Finding the Fourth Proportional to 81,198, 112,064.04 and 47,664

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Solution

The fourth proportional to 81,198, 112,064.04 and 47,664 is: 65,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198 : 112,064.04 = 47,664 : x
  2. Step 2: Convert to fraction form
    81,198/112,064.04 = 47,664/x
  3. Step 3: Cross multiply
    81,198x = 112,064.04 × 47,664
  4. Step 4: Simplify right side
    81,198x = 5,341,420,402.56
  5. Step 5: Solve for x
    x = 5,341,420,402.56/81,198
  6. Step 6: Final answer
    x = 65,782.66

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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.