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Finding the Fourth Proportional to 193,460.60, 290,421.30 and 109,287.80

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Solution

The fourth proportional to 193,460.60, 290,421.30 and 109,287.80 is: 164,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460.60 : 290,421.30 = 109,287.80 : x
  2. Step 2: Convert to fraction form
    193,460.60/290,421.30 = 109,287.80/x
  3. Step 3: Cross multiply
    193,460.60x = 290,421.30 × 109,287.80
  4. Step 4: Simplify right side
    193,460.60x = 31,739,504,950.14
  5. Step 5: Solve for x
    x = 31,739,504,950.14/193,460.60
  6. Step 6: Final answer
    x = 164,061.86

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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.