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Finding the Fourth Proportional to 201,988.44, 278,756.54 and 111,343.96

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Solution

The fourth proportional to 201,988.44, 278,756.54 and 111,343.96 is: 153,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,988.44 : 278,756.54 = 111,343.96 : x
  2. Step 2: Convert to fraction form
    201,988.44/278,756.54 = 111,343.96/x
  3. Step 3: Cross multiply
    201,988.44x = 278,756.54 × 111,343.96
  4. Step 4: Simplify right side
    201,988.44x = 31,037,857,039.50
  5. Step 5: Solve for x
    x = 31,037,857,039.50/201,988.44
  6. Step 6: Final answer
    x = 153,661.55

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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.