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Finding the Fourth Proportional to 107,138.21, 160,694.35 and 28,258.38

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Solution

The fourth proportional to 107,138.21, 160,694.35 and 28,258.38 is: 42,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.21 : 160,694.35 = 28,258.38 : x
  2. Step 2: Convert to fraction form
    107,138.21/160,694.35 = 28,258.38/x
  3. Step 3: Cross multiply
    107,138.21x = 160,694.35 × 28,258.38
  4. Step 4: Simplify right side
    107,138.21x = 4,540,961,935.51
  5. Step 5: Solve for x
    x = 4,540,961,935.51/107,138.21
  6. Step 6: Final answer
    x = 42,384.15

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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.