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Finding the Fourth Proportional to 117,705, 176,635.26 and 55,380.36

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Solution

The fourth proportional to 117,705, 176,635.26 and 55,380.36 is: 83,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,705 : 176,635.26 = 55,380.36 : x
  2. Step 2: Convert to fraction form
    117,705/176,635.26 = 55,380.36/x
  3. Step 3: Cross multiply
    117,705x = 176,635.26 × 55,380.36
  4. Step 4: Simplify right side
    117,705x = 9,782,124,287.49
  5. Step 5: Solve for x
    x = 9,782,124,287.49/117,705
  6. Step 6: Final answer
    x = 83,107.13

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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.