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Finding the Fourth Proportional to 201,824, 278,525.76 and 112,400

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Solution

The fourth proportional to 201,824, 278,525.76 and 112,400 is: 155,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824 : 278,525.76 = 112,400 : x
  2. Step 2: Convert to fraction form
    201,824/278,525.76 = 112,400/x
  3. Step 3: Cross multiply
    201,824x = 278,525.76 × 112,400
  4. Step 4: Simplify right side
    201,824x = 31,306,295,424
  5. Step 5: Solve for x
    x = 31,306,295,424/201,824
  6. Step 6: Final answer
    x = 155,116.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.