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Finding the Fourth Proportional to 214,049.84, 320,971.20 and 79,022.40

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Solution

The fourth proportional to 214,049.84, 320,971.20 and 79,022.40 is: 118,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.84 : 320,971.20 = 79,022.40 : x
  2. Step 2: Convert to fraction form
    214,049.84/320,971.20 = 79,022.40/x
  3. Step 3: Cross multiply
    214,049.84x = 320,971.20 × 79,022.40
  4. Step 4: Simplify right side
    214,049.84x = 25,363,914,554.88
  5. Step 5: Solve for x
    x = 25,363,914,554.88/214,049.84
  6. Step 6: Final answer
    x = 118,495.37

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1.5x scale

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.