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Finding the Fourth Proportional to 82,012.90, 122,942.55 and 64,233.70

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Solution

The fourth proportional to 82,012.90, 122,942.55 and 64,233.70 is: 96,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.90 : 122,942.55 = 64,233.70 : x
  2. Step 2: Convert to fraction form
    82,012.90/122,942.55 = 64,233.70/x
  3. Step 3: Cross multiply
    82,012.90x = 122,942.55 × 64,233.70
  4. Step 4: Simplify right side
    82,012.90x = 7,897,054,873.94
  5. Step 5: Solve for x
    x = 7,897,054,873.94/82,012.90
  6. Step 6: Final answer
    x = 96,290.40

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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.