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Finding the Fourth Proportional to 45,391.32, 68,086.98 and 14,229

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Solution

The fourth proportional to 45,391.32, 68,086.98 and 14,229 is: 21,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,391.32 : 68,086.98 = 14,229 : x
  2. Step 2: Convert to fraction form
    45,391.32/68,086.98 = 14,229/x
  3. Step 3: Cross multiply
    45,391.32x = 68,086.98 × 14,229
  4. Step 4: Simplify right side
    45,391.32x = 968,809,638.42
  5. Step 5: Solve for x
    x = 968,809,638.42/45,391.32
  6. Step 6: Final answer
    x = 21,343.50

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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.