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Finding the Fourth Proportional to 201,974.86, 278,741.37 and 111,347.02

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Solution

The fourth proportional to 201,974.86, 278,741.37 and 111,347.02 is: 153,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.86 : 278,741.37 = 111,347.02 : x
  2. Step 2: Convert to fraction form
    201,974.86/278,741.37 = 111,347.02/x
  3. Step 3: Cross multiply
    201,974.86x = 278,741.37 × 111,347.02
  4. Step 4: Simplify right side
    201,974.86x = 31,037,020,900.22
  5. Step 5: Solve for x
    x = 31,037,020,900.22/201,974.86
  6. Step 6: Final answer
    x = 153,667.74

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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.