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Finding the Fourth Proportional to 201,774.33, 278,461.22 and 111,130.28

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Solution

The fourth proportional to 201,774.33, 278,461.22 and 111,130.28 is: 153,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774.33 : 278,461.22 = 111,130.28 : x
  2. Step 2: Convert to fraction form
    201,774.33/278,461.22 = 111,130.28/x
  3. Step 3: Cross multiply
    201,774.33x = 278,461.22 × 111,130.28
  4. Step 4: Simplify right side
    201,774.33x = 30,945,472,444.01
  5. Step 5: Solve for x
    x = 30,945,472,444.01/201,774.33
  6. Step 6: Final answer
    x = 153,366.75

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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.