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Finding the Fourth Proportional to 54,978,069.16, 75,867,656.77 and 30,533,357.80

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Solution

The fourth proportional to 54,978,069.16, 75,867,656.77 and 30,533,357.80 is: 42,134,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978,069.16 : 75,867,656.77 = 30,533,357.80 : x
  2. Step 2: Convert to fraction form
    54,978,069.16/75,867,656.77 = 30,533,357.80/x
  3. Step 3: Cross multiply
    54,978,069.16x = 75,867,656.77 × 30,533,357.80
  4. Step 4: Simplify right side
    54,978,069.16x = 2,316,494,309,606,002
  5. Step 5: Solve for x
    x = 2,316,494,309,606,002/54,978,069.16
  6. Step 6: Final answer
    x = 42,134,879.33

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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.