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Finding the Fourth Proportional to 201,456.96, 278,004.96 and 110,812.86

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Solution

The fourth proportional to 201,456.96, 278,004.96 and 110,812.86 is: 152,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,456.96 : 278,004.96 = 110,812.86 : x
  2. Step 2: Convert to fraction form
    201,456.96/278,004.96 = 110,812.86/x
  3. Step 3: Cross multiply
    201,456.96x = 278,004.96 × 110,812.86
  4. Step 4: Simplify right side
    201,456.96x = 30,806,524,711.79
  5. Step 5: Solve for x
    x = 30,806,524,711.79/201,456.96
  6. Step 6: Final answer
    x = 152,918.64

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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.