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Finding the Fourth Proportional to 37,142.32, 51,258 and 21,228

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Solution

The fourth proportional to 37,142.32, 51,258 and 21,228 is: 29,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.32 : 51,258 = 21,228 : x
  2. Step 2: Convert to fraction form
    37,142.32/51,258 = 21,228/x
  3. Step 3: Cross multiply
    37,142.32x = 51,258 × 21,228
  4. Step 4: Simplify right side
    37,142.32x = 1,088,104,824
  5. Step 5: Solve for x
    x = 1,088,104,824/37,142.32
  6. Step 6: Final answer
    x = 29,295.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.