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Finding the Fourth Proportional to 175,896, 263,844 and 77,400

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Solution

The fourth proportional to 175,896, 263,844 and 77,400 is: 116,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,896 : 263,844 = 77,400 : x
  2. Step 2: Convert to fraction form
    175,896/263,844 = 77,400/x
  3. Step 3: Cross multiply
    175,896x = 263,844 × 77,400
  4. Step 4: Simplify right side
    175,896x = 20,421,525,600
  5. Step 5: Solve for x
    x = 20,421,525,600/175,896
  6. Step 6: Final answer
    x = 116,100

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.