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Finding the Fourth Proportional to 78,138.26, 107,805.49 and 47,908.45

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Solution

The fourth proportional to 78,138.26, 107,805.49 and 47,908.45 is: 66,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.26 : 107,805.49 = 47,908.45 : x
  2. Step 2: Convert to fraction form
    78,138.26/107,805.49 = 47,908.45/x
  3. Step 3: Cross multiply
    78,138.26x = 107,805.49 × 47,908.45
  4. Step 4: Simplify right side
    78,138.26x = 5,164,793,927.39
  5. Step 5: Solve for x
    x = 5,164,793,927.39/78,138.26
  6. Step 6: Final answer
    x = 66,098.14

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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.