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Finding the Fourth Proportional to 76,852, 106,143.24 and 51,657.76

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Solution

The fourth proportional to 76,852, 106,143.24 and 51,657.76 is: 71,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852 : 106,143.24 = 51,657.76 : x
  2. Step 2: Convert to fraction form
    76,852/106,143.24 = 51,657.76/x
  3. Step 3: Cross multiply
    76,852x = 106,143.24 × 51,657.76
  4. Step 4: Simplify right side
    76,852x = 5,483,122,017.54
  5. Step 5: Solve for x
    x = 5,483,122,017.54/76,852
  6. Step 6: Final answer
    x = 71,346.51

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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.