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Finding the Fourth Proportional to 183,989.21, 253,912.31 and 103,416.49

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Solution

The fourth proportional to 183,989.21, 253,912.31 and 103,416.49 is: 142,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,989.21 : 253,912.31 = 103,416.49 : x
  2. Step 2: Convert to fraction form
    183,989.21/253,912.31 = 103,416.49/x
  3. Step 3: Cross multiply
    183,989.21x = 253,912.31 × 103,416.49
  4. Step 4: Simplify right side
    183,989.21x = 26,258,719,867.99
  5. Step 5: Solve for x
    x = 26,258,719,867.99/183,989.21
  6. Step 6: Final answer
    x = 142,718.80

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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.