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Finding the Fourth Proportional to 52,155.56, 78,232.53 and 20,990

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Solution

The fourth proportional to 52,155.56, 78,232.53 and 20,990 is: 31,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155.56 : 78,232.53 = 20,990 : x
  2. Step 2: Convert to fraction form
    52,155.56/78,232.53 = 20,990/x
  3. Step 3: Cross multiply
    52,155.56x = 78,232.53 × 20,990
  4. Step 4: Simplify right side
    52,155.56x = 1,642,100,804.70
  5. Step 5: Solve for x
    x = 1,642,100,804.70/52,155.56
  6. Step 6: Final answer
    x = 31,484.67

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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.