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Finding the Fourth Proportional to 212,166, 292,789.08 and 116,678.88

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Solution

The fourth proportional to 212,166, 292,789.08 and 116,678.88 is: 161,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,166 : 292,789.08 = 116,678.88 : x
  2. Step 2: Convert to fraction form
    212,166/292,789.08 = 116,678.88/x
  3. Step 3: Cross multiply
    212,166x = 292,789.08 × 116,678.88
  4. Step 4: Simplify right side
    212,166x = 34,162,301,930.63
  5. Step 5: Solve for x
    x = 34,162,301,930.63/212,166
  6. Step 6: Final answer
    x = 161,016.85

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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.