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Finding the Fourth Proportional to 201,995.72, 278,741.56 and 111,347

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Solution

The fourth proportional to 201,995.72, 278,741.56 and 111,347 is: 153,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,995.72 : 278,741.56 = 111,347 : x
  2. Step 2: Convert to fraction form
    201,995.72/278,741.56 = 111,347/x
  3. Step 3: Cross multiply
    201,995.72x = 278,741.56 × 111,347
  4. Step 4: Simplify right side
    201,995.72x = 31,037,036,481.32
  5. Step 5: Solve for x
    x = 31,037,036,481.32/201,995.72
  6. Step 6: Final answer
    x = 153,651.95

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1.5x scale

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.