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Finding the Fourth Proportional to 120,963,646.80, 181,469,089.80 and 48,168,039.60

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Solution

The fourth proportional to 120,963,646.80, 181,469,089.80 and 48,168,039.60 is: 72,261,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,963,646.80 : 181,469,089.80 = 48,168,039.60 : x
  2. Step 2: Convert to fraction form
    120,963,646.80/181,469,089.80 = 48,168,039.60/x
  3. Step 3: Cross multiply
    120,963,646.80x = 181,469,089.80 × 48,168,039.60
  4. Step 4: Simplify right side
    120,963,646.80x = 8,741,010,303,662,357
  5. Step 5: Solve for x
    x = 8,741,010,303,662,357/120,963,646.80
  6. Step 6: Final answer
    x = 72,261,464.79

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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.