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Finding the Fourth Proportional to 54,338.58, 74,986.29 and 30,465.18

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Solution

The fourth proportional to 54,338.58, 74,986.29 and 30,465.18 is: 42,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338.58 : 74,986.29 = 30,465.18 : x
  2. Step 2: Convert to fraction form
    54,338.58/74,986.29 = 30,465.18/x
  3. Step 3: Cross multiply
    54,338.58x = 74,986.29 × 30,465.18
  4. Step 4: Simplify right side
    54,338.58x = 2,284,470,822.38
  5. Step 5: Solve for x
    x = 2,284,470,822.38/54,338.58
  6. Step 6: Final answer
    x = 42,041.42

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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.