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Finding the Fourth Proportional to 78,221.82, 108,035.21 and 53,027.58

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Solution

The fourth proportional to 78,221.82, 108,035.21 and 53,027.58 is: 73,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.82 : 108,035.21 = 53,027.58 : x
  2. Step 2: Convert to fraction form
    78,221.82/108,035.21 = 53,027.58/x
  3. Step 3: Cross multiply
    78,221.82x = 108,035.21 × 53,027.58
  4. Step 4: Simplify right side
    78,221.82x = 5,728,845,475.95
  5. Step 5: Solve for x
    x = 5,728,845,475.95/78,221.82
  6. Step 6: Final answer
    x = 73,238.46

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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.