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Finding the Fourth Proportional to 68,065.76, 102,098.58 and 21,322.28

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Solution

The fourth proportional to 68,065.76, 102,098.58 and 21,322.28 is: 31,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065.76 : 102,098.58 = 21,322.28 : x
  2. Step 2: Convert to fraction form
    68,065.76/102,098.58 = 21,322.28/x
  3. Step 3: Cross multiply
    68,065.76x = 102,098.58 × 21,322.28
  4. Step 4: Simplify right side
    68,065.76x = 2,176,974,510.36
  5. Step 5: Solve for x
    x = 2,176,974,510.36/68,065.76
  6. Step 6: Final answer
    x = 31,983.40

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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.