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Finding the Fourth Proportional to 105,351.66, 157,746.84 and 82,325.88

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Solution

The fourth proportional to 105,351.66, 157,746.84 and 82,325.88 is: 123,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,351.66 : 157,746.84 = 82,325.88 : x
  2. Step 2: Convert to fraction form
    105,351.66/157,746.84 = 82,325.88/x
  3. Step 3: Cross multiply
    105,351.66x = 157,746.84 × 82,325.88
  4. Step 4: Simplify right side
    105,351.66x = 12,986,647,420.22
  5. Step 5: Solve for x
    x = 12,986,647,420.22/105,351.66
  6. Step 6: Final answer
    x = 123,269.51

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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.