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Finding the Fourth Proportional to 54,582.88, 75,323.76 and 30,709.60

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Solution

The fourth proportional to 54,582.88, 75,323.76 and 30,709.60 is: 42,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582.88 : 75,323.76 = 30,709.60 : x
  2. Step 2: Convert to fraction form
    54,582.88/75,323.76 = 30,709.60/x
  3. Step 3: Cross multiply
    54,582.88x = 75,323.76 × 30,709.60
  4. Step 4: Simplify right side
    54,582.88x = 2,313,162,540.10
  5. Step 5: Solve for x
    x = 2,313,162,540.10/54,582.88
  6. Step 6: Final answer
    x = 42,378.90

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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.