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Finding the Fourth Proportional to 65,738.50, 98,558.52 and 21,338.74

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Solution

The fourth proportional to 65,738.50, 98,558.52 and 21,338.74 is: 31,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.50 : 98,558.52 = 21,338.74 : x
  2. Step 2: Convert to fraction form
    65,738.50/98,558.52 = 21,338.74/x
  3. Step 3: Cross multiply
    65,738.50x = 98,558.52 × 21,338.74
  4. Step 4: Simplify right side
    65,738.50x = 2,103,114,633.06
  5. Step 5: Solve for x
    x = 2,103,114,633.06/65,738.50
  6. Step 6: Final answer
    x = 31,992.13

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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.