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Finding the Fourth Proportional to 212,112.70, 292,708.04 and 116,618.66

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Solution

The fourth proportional to 212,112.70, 292,708.04 and 116,618.66 is: 160,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,112.70 : 292,708.04 = 116,618.66 : x
  2. Step 2: Convert to fraction form
    212,112.70/292,708.04 = 116,618.66/x
  3. Step 3: Cross multiply
    212,112.70x = 292,708.04 × 116,618.66
  4. Step 4: Simplify right side
    212,112.70x = 34,135,219,396.03
  5. Step 5: Solve for x
    x = 34,135,219,396.03/212,112.70
  6. Step 6: Final answer
    x = 160,929.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.