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Finding the Fourth Proportional to 210,919.75, 316,380.75 and 86,260.75

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Solution

The fourth proportional to 210,919.75, 316,380.75 and 86,260.75 is: 129,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,919.75 : 316,380.75 = 86,260.75 : x
  2. Step 2: Convert to fraction form
    210,919.75/316,380.75 = 86,260.75/x
  3. Step 3: Cross multiply
    210,919.75x = 316,380.75 × 86,260.75
  4. Step 4: Simplify right side
    210,919.75x = 27,291,240,780.56
  5. Step 5: Solve for x
    x = 27,291,240,780.56/210,919.75
  6. Step 6: Final answer
    x = 129,391.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.