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Finding the Fourth Proportional to 213,173.54, 294,178.42 and 117,680

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Solution

The fourth proportional to 213,173.54, 294,178.42 and 117,680 is: 162,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,173.54 : 294,178.42 = 117,680 : x
  2. Step 2: Convert to fraction form
    213,173.54/294,178.42 = 117,680/x
  3. Step 3: Cross multiply
    213,173.54x = 294,178.42 × 117,680
  4. Step 4: Simplify right side
    213,173.54x = 34,618,916,465.60
  5. Step 5: Solve for x
    x = 34,618,916,465.60/213,173.54
  6. Step 6: Final answer
    x = 162,397.81

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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.