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Finding the Fourth Proportional to 85,999,067.78, 120,738,817.13 and 85,999,067.78

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Solution

The fourth proportional to 85,999,067.78, 120,738,817.13 and 85,999,067.78 is: 120,738,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999,067.78 : 120,738,817.13 = 85,999,067.78 : x
  2. Step 2: Convert to fraction form
    85,999,067.78/120,738,817.13 = 85,999,067.78/x
  3. Step 3: Cross multiply
    85,999,067.78x = 120,738,817.13 × 85,999,067.78
  4. Step 4: Simplify right side
    85,999,067.78x = 10,383,425,717,006,206
  5. Step 5: Solve for x
    x = 10,383,425,717,006,206/85,999,067.78
  6. Step 6: Final answer
    x = 120,738,817.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.