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Finding the Fourth Proportional to 84,589.83, 126,946.20 and 68,148.45

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Solution

The fourth proportional to 84,589.83, 126,946.20 and 68,148.45 is: 102,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,589.83 : 126,946.20 = 68,148.45 : x
  2. Step 2: Convert to fraction form
    84,589.83/126,946.20 = 68,148.45/x
  3. Step 3: Cross multiply
    84,589.83x = 126,946.20 × 68,148.45
  4. Step 4: Simplify right side
    84,589.83x = 8,651,187,018.95
  5. Step 5: Solve for x
    x = 8,651,187,018.95/84,589.83
  6. Step 6: Final answer
    x = 102,272.19

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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.