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Finding the Fourth Proportional to 49,971.60, 74,946.60 and 21,891.60

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Solution

The fourth proportional to 49,971.60, 74,946.60 and 21,891.60 is: 32,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,971.60 : 74,946.60 = 21,891.60 : x
  2. Step 2: Convert to fraction form
    49,971.60/74,946.60 = 21,891.60/x
  3. Step 3: Cross multiply
    49,971.60x = 74,946.60 × 21,891.60
  4. Step 4: Simplify right side
    49,971.60x = 1,640,700,988.56
  5. Step 5: Solve for x
    x = 1,640,700,988.56/49,971.60
  6. Step 6: Final answer
    x = 32,832.67

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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.