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Finding the Fourth Proportional to 215,204, 322,857.84 and 67,460

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Solution

The fourth proportional to 215,204, 322,857.84 and 67,460 is: 101,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,204 : 322,857.84 = 67,460 : x
  2. Step 2: Convert to fraction form
    215,204/322,857.84 = 67,460/x
  3. Step 3: Cross multiply
    215,204x = 322,857.84 × 67,460
  4. Step 4: Simplify right side
    215,204x = 21,779,989,886.40
  5. Step 5: Solve for x
    x = 21,779,989,886.40/215,204
  6. Step 6: Final answer
    x = 101,206.25

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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.