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Finding the Fourth Proportional to 82,016.80, 122,852.40 and 66,464.80

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Solution

The fourth proportional to 82,016.80, 122,852.40 and 66,464.80 is: 99,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.80 : 122,852.40 = 66,464.80 : x
  2. Step 2: Convert to fraction form
    82,016.80/122,852.40 = 66,464.80/x
  3. Step 3: Cross multiply
    82,016.80x = 122,852.40 × 66,464.80
  4. Step 4: Simplify right side
    82,016.80x = 8,165,360,195.52
  5. Step 5: Solve for x
    x = 8,165,360,195.52/82,016.80
  6. Step 6: Final answer
    x = 99,557.17

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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.