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Finding the Fourth Proportional to 54,655, 75,410.94 and 30,776.92

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Solution

The fourth proportional to 54,655, 75,410.94 and 30,776.92 is: 42,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655 : 75,410.94 = 30,776.92 : x
  2. Step 2: Convert to fraction form
    54,655/75,410.94 = 30,776.92/x
  3. Step 3: Cross multiply
    54,655x = 75,410.94 × 30,776.92
  4. Step 4: Simplify right side
    54,655x = 2,320,916,467.50
  5. Step 5: Solve for x
    x = 2,320,916,467.50/54,655
  6. Step 6: Final answer
    x = 42,464.85

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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.