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Finding the Fourth Proportional to 68,492.79, 102,739.05 and 25,806.20

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Solution

The fourth proportional to 68,492.79, 102,739.05 and 25,806.20 is: 38,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,492.79 : 102,739.05 = 25,806.20 : x
  2. Step 2: Convert to fraction form
    68,492.79/102,739.05 = 25,806.20/x
  3. Step 3: Cross multiply
    68,492.79x = 102,739.05 × 25,806.20
  4. Step 4: Simplify right side
    68,492.79x = 2,651,303,958.41
  5. Step 5: Solve for x
    x = 2,651,303,958.41/68,492.79
  6. Step 6: Final answer
    x = 38,709.24

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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.