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Finding the Fourth Proportional to 65,290.50, 97,942.95 and 20,906.82

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Solution

The fourth proportional to 65,290.50, 97,942.95 and 20,906.82 is: 31,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,290.50 : 97,942.95 = 20,906.82 : x
  2. Step 2: Convert to fraction form
    65,290.50/97,942.95 = 20,906.82/x
  3. Step 3: Cross multiply
    65,290.50x = 97,942.95 × 20,906.82
  4. Step 4: Simplify right side
    65,290.50x = 2,047,675,625.92
  5. Step 5: Solve for x
    x = 2,047,675,625.92/65,290.50
  6. Step 6: Final answer
    x = 31,362.54

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1.5x scale

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.