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Finding the Fourth Proportional to 81,064.35, 111,836.64 and 54,164.25

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Solution

The fourth proportional to 81,064.35, 111,836.64 and 54,164.25 is: 74,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,064.35 : 111,836.64 = 54,164.25 : x
  2. Step 2: Convert to fraction form
    81,064.35/111,836.64 = 54,164.25/x
  3. Step 3: Cross multiply
    81,064.35x = 111,836.64 × 54,164.25
  4. Step 4: Simplify right side
    81,064.35x = 6,057,547,728.12
  5. Step 5: Solve for x
    x = 6,057,547,728.12/81,064.35
  6. Step 6: Final answer
    x = 74,725.17

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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.