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Finding the Fourth Proportional to 227,258.40, 313,639.92 and 136,643.88

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Solution

The fourth proportional to 227,258.40, 313,639.92 and 136,643.88 is: 188,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,258.40 : 313,639.92 = 136,643.88 : x
  2. Step 2: Convert to fraction form
    227,258.40/313,639.92 = 136,643.88/x
  3. Step 3: Cross multiply
    227,258.40x = 313,639.92 × 136,643.88
  4. Step 4: Simplify right side
    227,258.40x = 42,856,975,591.69
  5. Step 5: Solve for x
    x = 42,856,975,591.69/227,258.40
  6. Step 6: Final answer
    x = 188,582.58

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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.