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Finding the Fourth Proportional to 54,490, 81,258.16 and 53,991.75

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Solution

The fourth proportional to 54,490, 81,258.16 and 53,991.75 is: 80,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490 : 81,258.16 = 53,991.75 : x
  2. Step 2: Convert to fraction form
    54,490/81,258.16 = 53,991.75/x
  3. Step 3: Cross multiply
    54,490x = 81,258.16 × 53,991.75
  4. Step 4: Simplify right side
    54,490x = 4,387,270,260.18
  5. Step 5: Solve for x
    x = 4,387,270,260.18/54,490
  6. Step 6: Final answer
    x = 80,515.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.