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Finding the Fourth Proportional to 78,098.54, 117,053.92 and 35,920.50

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Solution

The fourth proportional to 78,098.54, 117,053.92 and 35,920.50 is: 53,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.54 : 117,053.92 = 35,920.50 : x
  2. Step 2: Convert to fraction form
    78,098.54/117,053.92 = 35,920.50/x
  3. Step 3: Cross multiply
    78,098.54x = 117,053.92 × 35,920.50
  4. Step 4: Simplify right side
    78,098.54x = 4,204,635,333.36
  5. Step 5: Solve for x
    x = 4,204,635,333.36/78,098.54
  6. Step 6: Final answer
    x = 53,837.57

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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.