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Finding the Fourth Proportional to 54,642.42, 75,405.78 and 30,771.42

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Solution

The fourth proportional to 54,642.42, 75,405.78 and 30,771.42 is: 42,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.42 : 75,405.78 = 30,771.42 : x
  2. Step 2: Convert to fraction form
    54,642.42/75,405.78 = 30,771.42/x
  3. Step 3: Cross multiply
    54,642.42x = 75,405.78 × 30,771.42
  4. Step 4: Simplify right side
    54,642.42x = 2,320,342,926.81
  5. Step 5: Solve for x
    x = 2,320,342,926.81/54,642.42
  6. Step 6: Final answer
    x = 42,464.13

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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.