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Finding the Fourth Proportional to 54,645.42, 75,409.92 and 30,774.42

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Solution

The fourth proportional to 54,645.42, 75,409.92 and 30,774.42 is: 42,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,645.42 : 75,409.92 = 30,774.42 : x
  2. Step 2: Convert to fraction form
    54,645.42/75,409.92 = 30,774.42/x
  3. Step 3: Cross multiply
    54,645.42x = 75,409.92 × 30,774.42
  4. Step 4: Simplify right side
    54,645.42x = 2,320,696,550.25
  5. Step 5: Solve for x
    x = 2,320,696,550.25/54,645.42
  6. Step 6: Final answer
    x = 42,468.27

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1.5x scale

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.