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Finding the Fourth Proportional to 118,838.82, 178,138.27 and 74,496.70

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Solution

The fourth proportional to 118,838.82, 178,138.27 and 74,496.70 is: 111,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,838.82 : 178,138.27 = 74,496.70 : x
  2. Step 2: Convert to fraction form
    118,838.82/178,138.27 = 74,496.70/x
  3. Step 3: Cross multiply
    118,838.82x = 178,138.27 × 74,496.70
  4. Step 4: Simplify right side
    118,838.82x = 13,270,713,258.71
  5. Step 5: Solve for x
    x = 13,270,713,258.71/118,838.82
  6. Step 6: Final answer
    x = 111,669.85

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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.