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Finding the Fourth Proportional to 119,809.96, 165,335.94 and 65,361.64

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Solution

The fourth proportional to 119,809.96, 165,335.94 and 65,361.64 is: 90,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,809.96 : 165,335.94 = 65,361.64 : x
  2. Step 2: Convert to fraction form
    119,809.96/165,335.94 = 65,361.64/x
  3. Step 3: Cross multiply
    119,809.96x = 165,335.94 × 65,361.64
  4. Step 4: Simplify right side
    119,809.96x = 10,806,628,189.34
  5. Step 5: Solve for x
    x = 10,806,628,189.34/119,809.96
  6. Step 6: Final answer
    x = 90,198.08

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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.