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Finding the Fourth Proportional to 155,713.80, 214,885 and 84,093.80

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Solution

The fourth proportional to 155,713.80, 214,885 and 84,093.80 is: 116,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,713.80 : 214,885 = 84,093.80 : x
  2. Step 2: Convert to fraction form
    155,713.80/214,885 = 84,093.80/x
  3. Step 3: Cross multiply
    155,713.80x = 214,885 × 84,093.80
  4. Step 4: Simplify right side
    155,713.80x = 18,070,496,213
  5. Step 5: Solve for x
    x = 18,070,496,213/155,713.80
  6. Step 6: Final answer
    x = 116,049.42

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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.