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Finding the Fourth Proportional to 121,761, 168,018.39 and 76,424.49

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Solution

The fourth proportional to 121,761, 168,018.39 and 76,424.49 is: 105,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,761 : 168,018.39 = 76,424.49 : x
  2. Step 2: Convert to fraction form
    121,761/168,018.39 = 76,424.49/x
  3. Step 3: Cross multiply
    121,761x = 168,018.39 × 76,424.49
  4. Step 4: Simplify right side
    121,761x = 12,840,719,766.37
  5. Step 5: Solve for x
    x = 12,840,719,766.37/121,761
  6. Step 6: Final answer
    x = 105,458.40

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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.