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Finding the Fourth Proportional to 54,648.57, 75,415.92 and 30,449.57

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Solution

The fourth proportional to 54,648.57, 75,415.92 and 30,449.57 is: 42,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,648.57 : 75,415.92 = 30,449.57 : x
  2. Step 2: Convert to fraction form
    54,648.57/75,415.92 = 30,449.57/x
  3. Step 3: Cross multiply
    54,648.57x = 75,415.92 × 30,449.57
  4. Step 4: Simplify right side
    54,648.57x = 2,296,382,482.20
  5. Step 5: Solve for x
    x = 2,296,382,482.20/54,648.57
  6. Step 6: Final answer
    x = 42,020.90

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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.