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Finding the Fourth Proportional to 128,274, 177,014.82 and 71,685.84

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Solution

The fourth proportional to 128,274, 177,014.82 and 71,685.84 is: 98,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,274 : 177,014.82 = 71,685.84 : x
  2. Step 2: Convert to fraction form
    128,274/177,014.82 = 71,685.84/x
  3. Step 3: Cross multiply
    128,274x = 177,014.82 × 71,685.84
  4. Step 4: Simplify right side
    128,274x = 12,689,456,064.15
  5. Step 5: Solve for x
    x = 12,689,456,064.15/128,274
  6. Step 6: Final answer
    x = 98,924.61

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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.