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Finding the Fourth Proportional to 40,876, 61,258.56 and 18,661.84

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Solution

The fourth proportional to 40,876, 61,258.56 and 18,661.84 is: 27,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,876 : 61,258.56 = 18,661.84 : x
  2. Step 2: Convert to fraction form
    40,876/61,258.56 = 18,661.84/x
  3. Step 3: Cross multiply
    40,876x = 61,258.56 × 18,661.84
  4. Step 4: Simplify right side
    40,876x = 1,143,197,445.35
  5. Step 5: Solve for x
    x = 1,143,197,445.35/40,876
  6. Step 6: Final answer
    x = 27,967.45

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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.