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Finding the Fourth Proportional to 75,808.54, 104,624.82 and 43,978.51

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Solution

The fourth proportional to 75,808.54, 104,624.82 and 43,978.51 is: 60,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.54 : 104,624.82 = 43,978.51 : x
  2. Step 2: Convert to fraction form
    75,808.54/104,624.82 = 43,978.51/x
  3. Step 3: Cross multiply
    75,808.54x = 104,624.82 × 43,978.51
  4. Step 4: Simplify right side
    75,808.54x = 4,601,242,949.60
  5. Step 5: Solve for x
    x = 4,601,242,949.60/75,808.54
  6. Step 6: Final answer
    x = 60,695.58

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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.