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Finding the Fourth Proportional to 175,900, 263,850 and 77,404

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Solution

The fourth proportional to 175,900, 263,850 and 77,404 is: 116,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,900 : 263,850 = 77,404 : x
  2. Step 2: Convert to fraction form
    175,900/263,850 = 77,404/x
  3. Step 3: Cross multiply
    175,900x = 263,850 × 77,404
  4. Step 4: Simplify right side
    175,900x = 20,423,045,400
  5. Step 5: Solve for x
    x = 20,423,045,400/175,900
  6. Step 6: Final answer
    x = 116,106

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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.