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Finding the Fourth Proportional to 185,401, 255,887.94 and 105,913

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Solution

The fourth proportional to 185,401, 255,887.94 and 105,913 is: 146,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,401 : 255,887.94 = 105,913 : x
  2. Step 2: Convert to fraction form
    185,401/255,887.94 = 105,913/x
  3. Step 3: Cross multiply
    185,401x = 255,887.94 × 105,913
  4. Step 4: Simplify right side
    185,401x = 27,101,859,389.22
  5. Step 5: Solve for x
    x = 27,101,859,389.22/185,401
  6. Step 6: Final answer
    x = 146,179.68

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1.5x scale

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.