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Finding the Fourth Proportional to 266,901.76, 400,338.60 and 67,222

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Solution

The fourth proportional to 266,901.76, 400,338.60 and 67,222 is: 100,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,901.76 : 400,338.60 = 67,222 : x
  2. Step 2: Convert to fraction form
    266,901.76/400,338.60 = 67,222/x
  3. Step 3: Cross multiply
    266,901.76x = 400,338.60 × 67,222
  4. Step 4: Simplify right side
    266,901.76x = 26,911,561,369.20
  5. Step 5: Solve for x
    x = 26,911,561,369.20/266,901.76
  6. Step 6: Final answer
    x = 100,829.46

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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.