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Finding the Fourth Proportional to 68,815, 94,966.14 and 39,007

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Solution

The fourth proportional to 68,815, 94,966.14 and 39,007 is: 53,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,815 : 94,966.14 = 39,007 : x
  2. Step 2: Convert to fraction form
    68,815/94,966.14 = 39,007/x
  3. Step 3: Cross multiply
    68,815x = 94,966.14 × 39,007
  4. Step 4: Simplify right side
    68,815x = 3,704,344,222.98
  5. Step 5: Solve for x
    x = 3,704,344,222.98/68,815
  6. Step 6: Final answer
    x = 53,830.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.