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Finding the Fourth Proportional to 100,971.60, 151,464.60 and 30,850.80

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Solution

The fourth proportional to 100,971.60, 151,464.60 and 30,850.80 is: 46,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.60 : 151,464.60 = 30,850.80 : x
  2. Step 2: Convert to fraction form
    100,971.60/151,464.60 = 30,850.80/x
  3. Step 3: Cross multiply
    100,971.60x = 151,464.60 × 30,850.80
  4. Step 4: Simplify right side
    100,971.60x = 4,672,804,081.68
  5. Step 5: Solve for x
    x = 4,672,804,081.68/100,971.60
  6. Step 6: Final answer
    x = 46,278.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.