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Finding the Fourth Proportional to 135,059, 186,381.42 and 75,443

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Solution

The fourth proportional to 135,059, 186,381.42 and 75,443 is: 104,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,059 : 186,381.42 = 75,443 : x
  2. Step 2: Convert to fraction form
    135,059/186,381.42 = 75,443/x
  3. Step 3: Cross multiply
    135,059x = 186,381.42 × 75,443
  4. Step 4: Simplify right side
    135,059x = 14,061,173,469.06
  5. Step 5: Solve for x
    x = 14,061,173,469.06/135,059
  6. Step 6: Final answer
    x = 104,111.34

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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.