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Finding the Fourth Proportional to 201,852.80, 278,555.56 and 111,206.67

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Solution

The fourth proportional to 201,852.80, 278,555.56 and 111,206.67 is: 153,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.80 : 278,555.56 = 111,206.67 : x
  2. Step 2: Convert to fraction form
    201,852.80/278,555.56 = 111,206.67/x
  3. Step 3: Cross multiply
    201,852.80x = 278,555.56 × 111,206.67
  4. Step 4: Simplify right side
    201,852.80x = 30,977,234,288.77
  5. Step 5: Solve for x
    x = 30,977,234,288.77/201,852.80
  6. Step 6: Final answer
    x = 153,464.48

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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.