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Finding the Fourth Proportional to 45,307.82, 67,961.73 and 14,145.74

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Solution

The fourth proportional to 45,307.82, 67,961.73 and 14,145.74 is: 21,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307.82 : 67,961.73 = 14,145.74 : x
  2. Step 2: Convert to fraction form
    45,307.82/67,961.73 = 14,145.74/x
  3. Step 3: Cross multiply
    45,307.82x = 67,961.73 × 14,145.74
  4. Step 4: Simplify right side
    45,307.82x = 961,368,962.53
  5. Step 5: Solve for x
    x = 961,368,962.53/45,307.82
  6. Step 6: Final answer
    x = 21,218.61

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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.