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Finding the Fourth Proportional to 218,873.80, 302,050.49 and 123,380.47

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Solution

The fourth proportional to 218,873.80, 302,050.49 and 123,380.47 is: 170,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,873.80 : 302,050.49 = 123,380.47 : x
  2. Step 2: Convert to fraction form
    218,873.80/302,050.49 = 123,380.47/x
  3. Step 3: Cross multiply
    218,873.80x = 302,050.49 × 123,380.47
  4. Step 4: Simplify right side
    218,873.80x = 37,267,131,419.93
  5. Step 5: Solve for x
    x = 37,267,131,419.93/218,873.80
  6. Step 6: Final answer
    x = 170,267.67

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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.