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Finding the Fourth Proportional to 201,991.47, 278,748.17 and 111,348.93

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Solution

The fourth proportional to 201,991.47, 278,748.17 and 111,348.93 is: 153,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.47 : 278,748.17 = 111,348.93 : x
  2. Step 2: Convert to fraction form
    201,991.47/278,748.17 = 111,348.93/x
  3. Step 3: Cross multiply
    201,991.47x = 278,748.17 × 111,348.93
  4. Step 4: Simplify right side
    201,991.47x = 31,038,309,912.21
  5. Step 5: Solve for x
    x = 31,038,309,912.21/201,991.47
  6. Step 6: Final answer
    x = 153,661.49

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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.