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Finding the Fourth Proportional to 147,619.44, 221,430 and 36,811.44

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Solution

The fourth proportional to 147,619.44, 221,430 and 36,811.44 is: 55,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,619.44 : 221,430 = 36,811.44 : x
  2. Step 2: Convert to fraction form
    147,619.44/221,430 = 36,811.44/x
  3. Step 3: Cross multiply
    147,619.44x = 221,430 × 36,811.44
  4. Step 4: Simplify right side
    147,619.44x = 8,151,157,159.20
  5. Step 5: Solve for x
    x = 8,151,157,159.20/147,619.44
  6. Step 6: Final answer
    x = 55,217.37

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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.