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Finding the Fourth Proportional to 207,491.51, 311,315.70 and 81,222

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Solution

The fourth proportional to 207,491.51, 311,315.70 and 81,222 is: 121,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,491.51 : 311,315.70 = 81,222 : x
  2. Step 2: Convert to fraction form
    207,491.51/311,315.70 = 81,222/x
  3. Step 3: Cross multiply
    207,491.51x = 311,315.70 × 81,222
  4. Step 4: Simplify right side
    207,491.51x = 25,285,683,785.40
  5. Step 5: Solve for x
    x = 25,285,683,785.40/207,491.51
  6. Step 6: Final answer
    x = 121,863.70

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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.