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Finding the Fourth Proportional to 54,751.50, 75,568.07 and 30,878.64

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Solution

The fourth proportional to 54,751.50, 75,568.07 and 30,878.64 is: 42,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.50 : 75,568.07 = 30,878.64 : x
  2. Step 2: Convert to fraction form
    54,751.50/75,568.07 = 30,878.64/x
  3. Step 3: Cross multiply
    54,751.50x = 75,568.07 × 30,878.64
  4. Step 4: Simplify right side
    54,751.50x = 2,333,439,306.22
  5. Step 5: Solve for x
    x = 2,333,439,306.22/54,751.50
  6. Step 6: Final answer
    x = 42,618.73

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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.