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Finding the Fourth Proportional to 72,738.62, 100,322.30 and 49,782.02

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Solution

The fourth proportional to 72,738.62, 100,322.30 and 49,782.02 is: 68,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,738.62 : 100,322.30 = 49,782.02 : x
  2. Step 2: Convert to fraction form
    72,738.62/100,322.30 = 49,782.02/x
  3. Step 3: Cross multiply
    72,738.62x = 100,322.30 × 49,782.02
  4. Step 4: Simplify right side
    72,738.62x = 4,994,245,994.52
  5. Step 5: Solve for x
    x = 4,994,245,994.52/72,738.62
  6. Step 6: Final answer
    x = 68,660.17

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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.