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Finding the Fourth Proportional to 68,041.98, 102,063.11 and 20,657.46

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Solution

The fourth proportional to 68,041.98, 102,063.11 and 20,657.46 is: 30,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,041.98 : 102,063.11 = 20,657.46 : x
  2. Step 2: Convert to fraction form
    68,041.98/102,063.11 = 20,657.46/x
  3. Step 3: Cross multiply
    68,041.98x = 102,063.11 × 20,657.46
  4. Step 4: Simplify right side
    68,041.98x = 2,108,364,509.01
  5. Step 5: Solve for x
    x = 2,108,364,509.01/68,041.98
  6. Step 6: Final answer
    x = 30,986.23

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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.