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Finding the Fourth Proportional to 75,657, 104,409.90 and 42,123

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Solution

The fourth proportional to 75,657, 104,409.90 and 42,123 is: 58,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657 : 104,409.90 = 42,123 : x
  2. Step 2: Convert to fraction form
    75,657/104,409.90 = 42,123/x
  3. Step 3: Cross multiply
    75,657x = 104,409.90 × 42,123
  4. Step 4: Simplify right side
    75,657x = 4,398,058,217.70
  5. Step 5: Solve for x
    x = 4,398,058,217.70/75,657
  6. Step 6: Final answer
    x = 58,131.54

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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.