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Finding the Fourth Proportional to 78,684, 118,103.76 and 41,748

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Solution

The fourth proportional to 78,684, 118,103.76 and 41,748 is: 62,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684 : 118,103.76 = 41,748 : x
  2. Step 2: Convert to fraction form
    78,684/118,103.76 = 41,748/x
  3. Step 3: Cross multiply
    78,684x = 118,103.76 × 41,748
  4. Step 4: Simplify right side
    78,684x = 4,930,595,772.48
  5. Step 5: Solve for x
    x = 4,930,595,772.48/78,684
  6. Step 6: Final answer
    x = 62,663.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.