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Finding the Fourth Proportional to 236,100, 354,219.18 and 76,172.68

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Solution

The fourth proportional to 236,100, 354,219.18 and 76,172.68 is: 114,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,100 : 354,219.18 = 76,172.68 : x
  2. Step 2: Convert to fraction form
    236,100/354,219.18 = 76,172.68/x
  3. Step 3: Cross multiply
    236,100x = 354,219.18 × 76,172.68
  4. Step 4: Simplify right side
    236,100x = 26,981,824,248.00
  5. Step 5: Solve for x
    x = 26,981,824,248.00/236,100
  6. Step 6: Final answer
    x = 114,281.34

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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.