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Finding the Fourth Proportional to 232,405.65, 320,788.49 and 136,943.10

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Solution

The fourth proportional to 232,405.65, 320,788.49 and 136,943.10 is: 189,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,405.65 : 320,788.49 = 136,943.10 : x
  2. Step 2: Convert to fraction form
    232,405.65/320,788.49 = 136,943.10/x
  3. Step 3: Cross multiply
    232,405.65x = 320,788.49 × 136,943.10
  4. Step 4: Simplify right side
    232,405.65x = 43,929,769,580.20
  5. Step 5: Solve for x
    x = 43,929,769,580.20/232,405.65
  6. Step 6: Final answer
    x = 189,021.95

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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.