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Finding the Fourth Proportional to 138,084.64, 190,479.12 and 82,879.84

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Solution

The fourth proportional to 138,084.64, 190,479.12 and 82,879.84 is: 114,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,084.64 : 190,479.12 = 82,879.84 : x
  2. Step 2: Convert to fraction form
    138,084.64/190,479.12 = 82,879.84/x
  3. Step 3: Cross multiply
    138,084.64x = 190,479.12 × 82,879.84
  4. Step 4: Simplify right side
    138,084.64x = 15,786,878,988.94
  5. Step 5: Solve for x
    x = 15,786,878,988.94/138,084.64
  6. Step 6: Final answer
    x = 114,327.55

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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.