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Finding the Fourth Proportional to 213,684.32, 294,858.48 and 118,178

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Solution

The fourth proportional to 213,684.32, 294,858.48 and 118,178 is: 163,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,684.32 : 294,858.48 = 118,178 : x
  2. Step 2: Convert to fraction form
    213,684.32/294,858.48 = 118,178/x
  3. Step 3: Cross multiply
    213,684.32x = 294,858.48 × 118,178
  4. Step 4: Simplify right side
    213,684.32x = 34,845,785,449.44
  5. Step 5: Solve for x
    x = 34,845,785,449.44/213,684.32
  6. Step 6: Final answer
    x = 163,071.33

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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.