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Finding the Fourth Proportional to 82,017.80, 122,735.10 and 56,940.20

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Solution

The fourth proportional to 82,017.80, 122,735.10 and 56,940.20 is: 85,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.80 : 122,735.10 = 56,940.20 : x
  2. Step 2: Convert to fraction form
    82,017.80/122,735.10 = 56,940.20/x
  3. Step 3: Cross multiply
    82,017.80x = 122,735.10 × 56,940.20
  4. Step 4: Simplify right side
    82,017.80x = 6,988,561,141.02
  5. Step 5: Solve for x
    x = 6,988,561,141.02/82,017.80
  6. Step 6: Final answer
    x = 85,207.86

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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.