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Finding the Fourth Proportional to 76,815,220.31, 106,014,687.49 and 50,375,809.12

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Solution

The fourth proportional to 76,815,220.31, 106,014,687.49 and 50,375,809.12 is: 69,524,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815,220.31 : 106,014,687.49 = 50,375,809.12 : x
  2. Step 2: Convert to fraction form
    76,815,220.31/106,014,687.49 = 50,375,809.12/x
  3. Step 3: Cross multiply
    76,815,220.31x = 106,014,687.49 × 50,375,809.12
  4. Step 4: Simplify right side
    76,815,220.31x = 5,340,575,660,919,271
  5. Step 5: Solve for x
    x = 5,340,575,660,919,271/76,815,220.31
  6. Step 6: Final answer
    x = 69,524,967.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.