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Finding the Fourth Proportional to 54,119, 74,684.53 and 31,458.43

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Solution

The fourth proportional to 54,119, 74,684.53 and 31,458.43 is: 43,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,119 : 74,684.53 = 31,458.43 : x
  2. Step 2: Convert to fraction form
    54,119/74,684.53 = 31,458.43/x
  3. Step 3: Cross multiply
    54,119x = 74,684.53 × 31,458.43
  4. Step 4: Simplify right side
    54,119x = 2,349,458,059.09
  5. Step 5: Solve for x
    x = 2,349,458,059.09/54,119
  6. Step 6: Final answer
    x = 43,412.81

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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.