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Finding the Fourth Proportional to 212,842.60, 319,219.10 and 107,562.60

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Solution

The fourth proportional to 212,842.60, 319,219.10 and 107,562.60 is: 161,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,842.60 : 319,219.10 = 107,562.60 : x
  2. Step 2: Convert to fraction form
    212,842.60/319,219.10 = 107,562.60/x
  3. Step 3: Cross multiply
    212,842.60x = 319,219.10 × 107,562.60
  4. Step 4: Simplify right side
    212,842.60x = 34,336,036,365.66
  5. Step 5: Solve for x
    x = 34,336,036,365.66/212,842.60
  6. Step 6: Final answer
    x = 161,321.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.