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Finding the Fourth Proportional to 120,087.53, 165,721.32 and 65,640.81

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Solution

The fourth proportional to 120,087.53, 165,721.32 and 65,640.81 is: 90,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,087.53 : 165,721.32 = 65,640.81 : x
  2. Step 2: Convert to fraction form
    120,087.53/165,721.32 = 65,640.81/x
  3. Step 3: Cross multiply
    120,087.53x = 165,721.32 × 65,640.81
  4. Step 4: Simplify right side
    120,087.53x = 10,878,081,679.07
  5. Step 5: Solve for x
    x = 10,878,081,679.07/120,087.53
  6. Step 6: Final answer
    x = 90,584.61

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1.5x scale

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.