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Finding the Fourth Proportional to 78,974.80, 108,983.60 and 43,165.08

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Solution

The fourth proportional to 78,974.80, 108,983.60 and 43,165.08 is: 59,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,974.80 : 108,983.60 = 43,165.08 : x
  2. Step 2: Convert to fraction form
    78,974.80/108,983.60 = 43,165.08/x
  3. Step 3: Cross multiply
    78,974.80x = 108,983.60 × 43,165.08
  4. Step 4: Simplify right side
    78,974.80x = 4,704,285,812.69
  5. Step 5: Solve for x
    x = 4,704,285,812.69/78,974.80
  6. Step 6: Final answer
    x = 59,566.92

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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.