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Finding the Fourth Proportional to 215,210, 322,866.88 and 67,466

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Solution

The fourth proportional to 215,210, 322,866.88 and 67,466 is: 101,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,210 : 322,866.88 = 67,466 : x
  2. Step 2: Convert to fraction form
    215,210/322,866.88 = 67,466/x
  3. Step 3: Cross multiply
    215,210x = 322,866.88 × 67,466
  4. Step 4: Simplify right side
    215,210x = 21,782,536,926.08
  5. Step 5: Solve for x
    x = 21,782,536,926.08/215,210
  6. Step 6: Final answer
    x = 101,215.26

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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.