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Finding the Fourth Proportional to 82,013,121.70, 123,019,682.55 and 82,013,121.70

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Solution

The fourth proportional to 82,013,121.70, 123,019,682.55 and 82,013,121.70 is: 123,019,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013,121.70 : 123,019,682.55 = 82,013,121.70 : x
  2. Step 2: Convert to fraction form
    82,013,121.70/123,019,682.55 = 82,013,121.70/x
  3. Step 3: Cross multiply
    82,013,121.70x = 123,019,682.55 × 82,013,121.70
  4. Step 4: Simplify right side
    82,013,121.70x = 10,089,228,196,468,516
  5. Step 5: Solve for x
    x = 10,089,228,196,468,516/82,013,121.70
  6. Step 6: Final answer
    x = 123,019,682.55

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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.