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Finding the Fourth Proportional to 81,584,728.80, 122,377,093.20 and 30,464,041.20

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Solution

The fourth proportional to 81,584,728.80, 122,377,093.20 and 30,464,041.20 is: 45,696,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,584,728.80 : 122,377,093.20 = 30,464,041.20 : x
  2. Step 2: Convert to fraction form
    81,584,728.80/122,377,093.20 = 30,464,041.20/x
  3. Step 3: Cross multiply
    81,584,728.80x = 122,377,093.20 × 30,464,041.20
  4. Step 4: Simplify right side
    81,584,728.80x = 3,728,100,809,181,040
  5. Step 5: Solve for x
    x = 3,728,100,809,181,040/81,584,728.80
  6. Step 6: Final answer
    x = 45,696,061.80

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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.