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Finding the Fourth Proportional to 119,122, 164,387.20 and 65,406.54

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Solution

The fourth proportional to 119,122, 164,387.20 and 65,406.54 is: 90,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,122 : 164,387.20 = 65,406.54 : x
  2. Step 2: Convert to fraction form
    119,122/164,387.20 = 65,406.54/x
  3. Step 3: Cross multiply
    119,122x = 164,387.20 × 65,406.54
  4. Step 4: Simplify right side
    119,122x = 10,751,997,972.29
  5. Step 5: Solve for x
    x = 10,751,997,972.29/119,122
  6. Step 6: Final answer
    x = 90,260.39

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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.