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Finding the Fourth Proportional to 213,951.78, 295,258.06 and 117,159.72

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Solution

The fourth proportional to 213,951.78, 295,258.06 and 117,159.72 is: 161,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,951.78 : 295,258.06 = 117,159.72 : x
  2. Step 2: Convert to fraction form
    213,951.78/295,258.06 = 117,159.72/x
  3. Step 3: Cross multiply
    213,951.78x = 295,258.06 × 117,159.72
  4. Step 4: Simplify right side
    213,951.78x = 34,592,350,676.58
  5. Step 5: Solve for x
    x = 34,592,350,676.58/213,951.78
  6. Step 6: Final answer
    x = 161,682.93

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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.