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Finding the Fourth Proportional to 201,655.44, 278,282.28 and 111,009.48

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Solution

The fourth proportional to 201,655.44, 278,282.28 and 111,009.48 is: 153,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655.44 : 278,282.28 = 111,009.48 : x
  2. Step 2: Convert to fraction form
    201,655.44/278,282.28 = 111,009.48/x
  3. Step 3: Cross multiply
    201,655.44x = 278,282.28 × 111,009.48
  4. Step 4: Simplify right side
    201,655.44x = 30,891,971,196.01
  5. Step 5: Solve for x
    x = 30,891,971,196.01/201,655.44
  6. Step 6: Final answer
    x = 153,191.86

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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.