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Finding the Fourth Proportional to 201,970.86, 278,735.85 and 111,343.02

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Solution

The fourth proportional to 201,970.86, 278,735.85 and 111,343.02 is: 153,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.86 : 278,735.85 = 111,343.02 : x
  2. Step 2: Convert to fraction form
    201,970.86/278,735.85 = 111,343.02/x
  3. Step 3: Cross multiply
    201,970.86x = 278,735.85 × 111,343.02
  4. Step 4: Simplify right side
    201,970.86x = 31,035,291,321.27
  5. Step 5: Solve for x
    x = 31,035,291,321.27/201,970.86
  6. Step 6: Final answer
    x = 153,662.22

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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.