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Finding the Fourth Proportional to 76,906.80, 115,381.80 and 37,465.20

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Solution

The fourth proportional to 76,906.80, 115,381.80 and 37,465.20 is: 56,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.80 : 115,381.80 = 37,465.20 : x
  2. Step 2: Convert to fraction form
    76,906.80/115,381.80 = 37,465.20/x
  3. Step 3: Cross multiply
    76,906.80x = 115,381.80 × 37,465.20
  4. Step 4: Simplify right side
    76,906.80x = 4,322,802,213.36
  5. Step 5: Solve for x
    x = 4,322,802,213.36/76,906.80
  6. Step 6: Final answer
    x = 56,208.32

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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.