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Finding the Fourth Proportional to 82,012.80, 122,846.40 and 66,460.80

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Solution

The fourth proportional to 82,012.80, 122,846.40 and 66,460.80 is: 99,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.80 : 122,846.40 = 66,460.80 : x
  2. Step 2: Convert to fraction form
    82,012.80/122,846.40 = 66,460.80/x
  3. Step 3: Cross multiply
    82,012.80x = 122,846.40 × 66,460.80
  4. Step 4: Simplify right side
    82,012.80x = 8,164,470,021.12
  5. Step 5: Solve for x
    x = 8,164,470,021.12/82,012.80
  6. Step 6: Final answer
    x = 99,551.17

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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.