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Finding the Fourth Proportional to 65,155.50, 97,738.74 and 20,788.56

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Solution

The fourth proportional to 65,155.50, 97,738.74 and 20,788.56 is: 31,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,155.50 : 97,738.74 = 20,788.56 : x
  2. Step 2: Convert to fraction form
    65,155.50/97,738.74 = 20,788.56/x
  3. Step 3: Cross multiply
    65,155.50x = 97,738.74 × 20,788.56
  4. Step 4: Simplify right side
    65,155.50x = 2,031,847,660.81
  5. Step 5: Solve for x
    x = 2,031,847,660.81/65,155.50
  6. Step 6: Final answer
    x = 31,184.59

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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.