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Finding the Fourth Proportional to 78,681.97, 117,905.10 and 34,284.66

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Solution

The fourth proportional to 78,681.97, 117,905.10 and 34,284.66 is: 51,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.97 : 117,905.10 = 34,284.66 : x
  2. Step 2: Convert to fraction form
    78,681.97/117,905.10 = 34,284.66/x
  3. Step 3: Cross multiply
    78,681.97x = 117,905.10 × 34,284.66
  4. Step 4: Simplify right side
    78,681.97x = 4,042,336,265.77
  5. Step 5: Solve for x
    x = 4,042,336,265.77/78,681.97
  6. Step 6: Final answer
    x = 51,375.64

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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.