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Finding the Fourth Proportional to 119,321.25, 164,659.11 and 65,605.89

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Solution

The fourth proportional to 119,321.25, 164,659.11 and 65,605.89 is: 90,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,321.25 : 164,659.11 = 65,605.89 : x
  2. Step 2: Convert to fraction form
    119,321.25/164,659.11 = 65,605.89/x
  3. Step 3: Cross multiply
    119,321.25x = 164,659.11 × 65,605.89
  4. Step 4: Simplify right side
    119,321.25x = 10,802,607,458.16
  5. Step 5: Solve for x
    x = 10,802,607,458.16/119,321.25
  6. Step 6: Final answer
    x = 90,533.81

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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.