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Finding the Fourth Proportional to 54,768, 75,579.84 and 29,617.50

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Solution

The fourth proportional to 54,768, 75,579.84 and 29,617.50 is: 40,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768 : 75,579.84 = 29,617.50 : x
  2. Step 2: Convert to fraction form
    54,768/75,579.84 = 29,617.50/x
  3. Step 3: Cross multiply
    54,768x = 75,579.84 × 29,617.50
  4. Step 4: Simplify right side
    54,768x = 2,238,485,911.20
  5. Step 5: Solve for x
    x = 2,238,485,911.20/54,768
  6. Step 6: Final answer
    x = 40,872.15

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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.