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Finding the Fourth Proportional to 120,039.84, 165,656.25 and 66,323.52

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Solution

The fourth proportional to 120,039.84, 165,656.25 and 66,323.52 is: 91,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,039.84 : 165,656.25 = 66,323.52 : x
  2. Step 2: Convert to fraction form
    120,039.84/165,656.25 = 66,323.52/x
  3. Step 3: Cross multiply
    120,039.84x = 165,656.25 × 66,323.52
  4. Step 4: Simplify right side
    120,039.84x = 10,986,905,610
  5. Step 5: Solve for x
    x = 10,986,905,610/120,039.84
  6. Step 6: Final answer
    x = 91,527.16

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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.