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Finding the Fourth Proportional to 78,916, 108,903.44 and 43,106.02

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Solution

The fourth proportional to 78,916, 108,903.44 and 43,106.02 is: 59,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,916 : 108,903.44 = 43,106.02 : x
  2. Step 2: Convert to fraction form
    78,916/108,903.44 = 43,106.02/x
  3. Step 3: Cross multiply
    78,916x = 108,903.44 × 43,106.02
  4. Step 4: Simplify right side
    78,916x = 4,694,393,647.18
  5. Step 5: Solve for x
    x = 4,694,393,647.18/78,916
  6. Step 6: Final answer
    x = 59,485.96

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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.