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Finding the Fourth Proportional to 228,225.40, 342,629.70 and 121,694.20

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Solution

The fourth proportional to 228,225.40, 342,629.70 and 121,694.20 is: 182,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,225.40 : 342,629.70 = 121,694.20 : x
  2. Step 2: Convert to fraction form
    228,225.40/342,629.70 = 121,694.20/x
  3. Step 3: Cross multiply
    228,225.40x = 342,629.70 × 121,694.20
  4. Step 4: Simplify right side
    228,225.40x = 41,696,047,237.74
  5. Step 5: Solve for x
    x = 41,696,047,237.74/228,225.40
  6. Step 6: Final answer
    x = 182,696.79

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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.