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Finding the Fourth Proportional to 201,845.50, 278,546.80 and 112,421.50

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Solution

The fourth proportional to 201,845.50, 278,546.80 and 112,421.50 is: 155,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,845.50 : 278,546.80 = 112,421.50 : x
  2. Step 2: Convert to fraction form
    201,845.50/278,546.80 = 112,421.50/x
  3. Step 3: Cross multiply
    201,845.50x = 278,546.80 × 112,421.50
  4. Step 4: Simplify right side
    201,845.50x = 31,314,649,076.20
  5. Step 5: Solve for x
    x = 31,314,649,076.20/201,845.50
  6. Step 6: Final answer
    x = 155,141.68

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1.5x scale

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.