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Finding the Fourth Proportional to 75,660, 104,410.80 and 42,133.92

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Solution

The fourth proportional to 75,660, 104,410.80 and 42,133.92 is: 58,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660 : 104,410.80 = 42,133.92 : x
  2. Step 2: Convert to fraction form
    75,660/104,410.80 = 42,133.92/x
  3. Step 3: Cross multiply
    75,660x = 104,410.80 × 42,133.92
  4. Step 4: Simplify right side
    75,660x = 4,399,236,294.34
  5. Step 5: Solve for x
    x = 4,399,236,294.34/75,660
  6. Step 6: Final answer
    x = 58,144.81

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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.