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Finding the Fourth Proportional to 119,618.24, 165,072.38 and 65,902

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Solution

The fourth proportional to 119,618.24, 165,072.38 and 65,902 is: 90,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,618.24 : 165,072.38 = 65,902 : x
  2. Step 2: Convert to fraction form
    119,618.24/165,072.38 = 65,902/x
  3. Step 3: Cross multiply
    119,618.24x = 165,072.38 × 65,902
  4. Step 4: Simplify right side
    119,618.24x = 10,878,599,986.76
  5. Step 5: Solve for x
    x = 10,878,599,986.76/119,618.24
  6. Step 6: Final answer
    x = 90,944.32

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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.