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Finding the Fourth Proportional to 215,298, 322,999.20 and 67,554

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Solution

The fourth proportional to 215,298, 322,999.20 and 67,554 is: 101,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298 : 322,999.20 = 67,554 : x
  2. Step 2: Convert to fraction form
    215,298/322,999.20 = 67,554/x
  3. Step 3: Cross multiply
    215,298x = 322,999.20 × 67,554
  4. Step 4: Simplify right side
    215,298x = 21,819,887,956.80
  5. Step 5: Solve for x
    x = 21,819,887,956.80/215,298
  6. Step 6: Final answer
    x = 101,347.38

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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.