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Finding the Fourth Proportional to 75,702, 104,472.36 and 42,168

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Solution

The fourth proportional to 75,702, 104,472.36 and 42,168 is: 58,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702 : 104,472.36 = 42,168 : x
  2. Step 2: Convert to fraction form
    75,702/104,472.36 = 42,168/x
  3. Step 3: Cross multiply
    75,702x = 104,472.36 × 42,168
  4. Step 4: Simplify right side
    75,702x = 4,405,390,476.48
  5. Step 5: Solve for x
    x = 4,405,390,476.48/75,702
  6. Step 6: Final answer
    x = 58,193.85

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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.