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Finding the Fourth Proportional to 54,643.57, 75,409.40 and 30,446.14

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Solution

The fourth proportional to 54,643.57, 75,409.40 and 30,446.14 is: 42,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.57 : 75,409.40 = 30,446.14 : x
  2. Step 2: Convert to fraction form
    54,643.57/75,409.40 = 30,446.14/x
  3. Step 3: Cross multiply
    54,643.57x = 75,409.40 × 30,446.14
  4. Step 4: Simplify right side
    54,643.57x = 2,295,925,149.72
  5. Step 5: Solve for x
    x = 2,295,925,149.72/54,643.57
  6. Step 6: Final answer
    x = 42,016.38

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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.