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Finding the Fourth Proportional to 81,777,881.60, 122,666,822.40 and 47,340,504.80

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Solution

The fourth proportional to 81,777,881.60, 122,666,822.40 and 47,340,504.80 is: 71,010,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777,881.60 : 122,666,822.40 = 47,340,504.80 : x
  2. Step 2: Convert to fraction form
    81,777,881.60/122,666,822.40 = 47,340,504.80/x
  3. Step 3: Cross multiply
    81,777,881.60x = 122,666,822.40 × 47,340,504.80
  4. Step 4: Simplify right side
    81,777,881.60x = 5,807,109,294,627,947
  5. Step 5: Solve for x
    x = 5,807,109,294,627,947/81,777,881.60
  6. Step 6: Final answer
    x = 71,010,757.20

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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.