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Finding the Fourth Proportional to 194,912.07, 268,978.62 and 105,488.07

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Solution

The fourth proportional to 194,912.07, 268,978.62 and 105,488.07 is: 145,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912.07 : 268,978.62 = 105,488.07 : x
  2. Step 2: Convert to fraction form
    194,912.07/268,978.62 = 105,488.07/x
  3. Step 3: Cross multiply
    194,912.07x = 268,978.62 × 105,488.07
  4. Step 4: Simplify right side
    194,912.07x = 28,374,035,495.06
  5. Step 5: Solve for x
    x = 28,374,035,495.06/194,912.07
  6. Step 6: Final answer
    x = 145,573.52

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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.