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Finding the Fourth Proportional to 78,172.92, 117,416.26 and 46,644.50

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Solution

The fourth proportional to 78,172.92, 117,416.26 and 46,644.50 is: 70,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.92 : 117,416.26 = 46,644.50 : x
  2. Step 2: Convert to fraction form
    78,172.92/117,416.26 = 46,644.50/x
  3. Step 3: Cross multiply
    78,172.92x = 117,416.26 × 46,644.50
  4. Step 4: Simplify right side
    78,172.92x = 5,476,822,739.57
  5. Step 5: Solve for x
    x = 5,476,822,739.57/78,172.92
  6. Step 6: Final answer
    x = 70,060.36

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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.