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Finding the Fourth Proportional to 211,419,892.80, 317,035,360.80 and 81,984,484.80

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Solution

The fourth proportional to 211,419,892.80, 317,035,360.80 and 81,984,484.80 is: 122,940,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,419,892.80 : 317,035,360.80 = 81,984,484.80 : x
  2. Step 2: Convert to fraction form
    211,419,892.80/317,035,360.80 = 81,984,484.80/x
  3. Step 3: Cross multiply
    211,419,892.80x = 317,035,360.80 × 81,984,484.80
  4. Step 4: Simplify right side
    211,419,892.80x = 25,991,980,718,570,116
  5. Step 5: Solve for x
    x = 25,991,980,718,570,116/211,419,892.80
  6. Step 6: Final answer
    x = 122,940,090.33

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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.