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Finding the Fourth Proportional to 81,057.84, 111,805.20 and 70,429.20

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Solution

The fourth proportional to 81,057.84, 111,805.20 and 70,429.20 is: 97,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.84 : 111,805.20 = 70,429.20 : x
  2. Step 2: Convert to fraction form
    81,057.84/111,805.20 = 70,429.20/x
  3. Step 3: Cross multiply
    81,057.84x = 111,805.20 × 70,429.20
  4. Step 4: Simplify right side
    81,057.84x = 7,874,350,791.84
  5. Step 5: Solve for x
    x = 7,874,350,791.84/81,057.84
  6. Step 6: Final answer
    x = 97,144.84

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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.