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Finding the Fourth Proportional to 81,946,207.90, 122,919,311.85 and 81,946,207.90

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Solution

The fourth proportional to 81,946,207.90, 122,919,311.85 and 81,946,207.90 is: 122,919,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,946,207.90 : 122,919,311.85 = 81,946,207.90 : x
  2. Step 2: Convert to fraction form
    81,946,207.90/122,919,311.85 = 81,946,207.90/x
  3. Step 3: Cross multiply
    81,946,207.90x = 122,919,311.85 × 81,946,207.90
  4. Step 4: Simplify right side
    81,946,207.90x = 10,072,771,483,785,034
  5. Step 5: Solve for x
    x = 10,072,771,483,785,034/81,946,207.90
  6. Step 6: Final answer
    x = 122,919,311.85

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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.