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Finding the Fourth Proportional to 147,470, 221,205.81 and 36,662

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Solution

The fourth proportional to 147,470, 221,205.81 and 36,662 is: 54,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,470 : 221,205.81 = 36,662 : x
  2. Step 2: Convert to fraction form
    147,470/221,205.81 = 36,662/x
  3. Step 3: Cross multiply
    147,470x = 221,205.81 × 36,662
  4. Step 4: Simplify right side
    147,470x = 8,109,847,406.22
  5. Step 5: Solve for x
    x = 8,109,847,406.22/147,470
  6. Step 6: Final answer
    x = 54,993.20

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