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Finding the Fourth Proportional to 213,459.32, 320,188.98 and 80,369.44

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Solution

The fourth proportional to 213,459.32, 320,188.98 and 80,369.44 is: 120,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,459.32 : 320,188.98 = 80,369.44 : x
  2. Step 2: Convert to fraction form
    213,459.32/320,188.98 = 80,369.44/x
  3. Step 3: Cross multiply
    213,459.32x = 320,188.98 × 80,369.44
  4. Step 4: Simplify right side
    213,459.32x = 25,733,409,016.77
  5. Step 5: Solve for x
    x = 25,733,409,016.77/213,459.32
  6. Step 6: Final answer
    x = 120,554.16

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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.