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Finding the Fourth Proportional to 193,722.70, 290,537.79 and 81,405.04

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Solution

The fourth proportional to 193,722.70, 290,537.79 and 81,405.04 is: 122,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,722.70 : 290,537.79 = 81,405.04 : x
  2. Step 2: Convert to fraction form
    193,722.70/290,537.79 = 81,405.04/x
  3. Step 3: Cross multiply
    193,722.70x = 290,537.79 × 81,405.04
  4. Step 4: Simplify right side
    193,722.70x = 23,651,240,416.46
  5. Step 5: Solve for x
    x = 23,651,240,416.46/193,722.70
  6. Step 6: Final answer
    x = 122,088.12

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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.