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Finding the Fourth Proportional to 215,010.85, 322,209.99 and 158,405.80

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Solution

The fourth proportional to 215,010.85, 322,209.99 and 158,405.80 is: 237,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,010.85 : 322,209.99 = 158,405.80 : x
  2. Step 2: Convert to fraction form
    215,010.85/322,209.99 = 158,405.80/x
  3. Step 3: Cross multiply
    215,010.85x = 322,209.99 × 158,405.80
  4. Step 4: Simplify right side
    215,010.85x = 51,039,931,233.94
  5. Step 5: Solve for x
    x = 51,039,931,233.94/215,010.85
  6. Step 6: Final answer
    x = 237,383.05

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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.