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Finding the Fourth Proportional to 54,382.70, 75,048.86 and 30,507.96

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Solution

The fourth proportional to 54,382.70, 75,048.86 and 30,507.96 is: 42,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.70 : 75,048.86 = 30,507.96 : x
  2. Step 2: Convert to fraction form
    54,382.70/75,048.86 = 30,507.96/x
  3. Step 3: Cross multiply
    54,382.70x = 75,048.86 × 30,507.96
  4. Step 4: Simplify right side
    54,382.70x = 2,289,587,618.93
  5. Step 5: Solve for x
    x = 2,289,587,618.93/54,382.70
  6. Step 6: Final answer
    x = 42,101.40

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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.