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Finding the Fourth Proportional to 201,810.80, 278,486.37 and 111,161.70

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Solution

The fourth proportional to 201,810.80, 278,486.37 and 111,161.70 is: 153,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.80 : 278,486.37 = 111,161.70 : x
  2. Step 2: Convert to fraction form
    201,810.80/278,486.37 = 111,161.70/x
  3. Step 3: Cross multiply
    201,810.80x = 278,486.37 × 111,161.70
  4. Step 4: Simplify right side
    201,810.80x = 30,957,018,316.03
  5. Step 5: Solve for x
    x = 30,957,018,316.03/201,810.80
  6. Step 6: Final answer
    x = 153,396.24

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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.