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Finding the Fourth Proportional to 54,369.78, 75,030.42 and 31,724.34

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Solution

The fourth proportional to 54,369.78, 75,030.42 and 31,724.34 is: 43,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,369.78 : 75,030.42 = 31,724.34 : x
  2. Step 2: Convert to fraction form
    54,369.78/75,030.42 = 31,724.34/x
  3. Step 3: Cross multiply
    54,369.78x = 75,030.42 × 31,724.34
  4. Step 4: Simplify right side
    54,369.78x = 2,380,290,554.42
  5. Step 5: Solve for x
    x = 2,380,290,554.42/54,369.78
  6. Step 6: Final answer
    x = 43,779.66

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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.