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Finding the Fourth Proportional to 36,378, 50,210.64 and 22,242.78

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Solution

The fourth proportional to 36,378, 50,210.64 and 22,242.78 is: 30,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378 : 50,210.64 = 22,242.78 : x
  2. Step 2: Convert to fraction form
    36,378/50,210.64 = 22,242.78/x
  3. Step 3: Cross multiply
    36,378x = 50,210.64 × 22,242.78
  4. Step 4: Simplify right side
    36,378x = 1,116,824,219.18
  5. Step 5: Solve for x
    x = 1,116,824,219.18/36,378
  6. Step 6: Final answer
    x = 30,700.54

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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.