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Finding the Fourth Proportional to 57,093,678.50, 78,789,362.92 and 30,988,205.88

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Solution

The fourth proportional to 57,093,678.50, 78,789,362.92 and 30,988,205.88 is: 42,763,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093,678.50 : 78,789,362.92 = 30,988,205.88 : x
  2. Step 2: Convert to fraction form
    57,093,678.50/78,789,362.92 = 30,988,205.88/x
  3. Step 3: Cross multiply
    57,093,678.50x = 78,789,362.92 × 30,988,205.88
  4. Step 4: Simplify right side
    57,093,678.50x = 2,441,540,999,318,998
  5. Step 5: Solve for x
    x = 2,441,540,999,318,998/57,093,678.50
  6. Step 6: Final answer
    x = 42,763,771.11

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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.