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Finding the Fourth Proportional to 68,065.98, 102,098.97 and 21,322.50

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Solution

The fourth proportional to 68,065.98, 102,098.97 and 21,322.50 is: 31,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065.98 : 102,098.97 = 21,322.50 : x
  2. Step 2: Convert to fraction form
    68,065.98/102,098.97 = 21,322.50/x
  3. Step 3: Cross multiply
    68,065.98x = 102,098.97 × 21,322.50
  4. Step 4: Simplify right side
    68,065.98x = 2,177,005,287.83
  5. Step 5: Solve for x
    x = 2,177,005,287.83/68,065.98
  6. Step 6: Final answer
    x = 31,983.75

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1.5x scale

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.