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Finding the Fourth Proportional to 78,307.39, 117,378.68 and 49,865.97

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Solution

The fourth proportional to 78,307.39, 117,378.68 and 49,865.97 is: 74,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,307.39 : 117,378.68 = 49,865.97 : x
  2. Step 2: Convert to fraction form
    78,307.39/117,378.68 = 49,865.97/x
  3. Step 3: Cross multiply
    78,307.39x = 117,378.68 × 49,865.97
  4. Step 4: Simplify right side
    78,307.39x = 5,853,200,899.30
  5. Step 5: Solve for x
    x = 5,853,200,899.30/78,307.39
  6. Step 6: Final answer
    x = 74,746.47

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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.