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Finding the Fourth Proportional to 135,237, 186,635.70 and 75,621

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Solution

The fourth proportional to 135,237, 186,635.70 and 75,621 is: 104,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,237 : 186,635.70 = 75,621 : x
  2. Step 2: Convert to fraction form
    135,237/186,635.70 = 75,621/x
  3. Step 3: Cross multiply
    135,237x = 186,635.70 × 75,621
  4. Step 4: Simplify right side
    135,237x = 14,113,578,269.70
  5. Step 5: Solve for x
    x = 14,113,578,269.70/135,237
  6. Step 6: Final answer
    x = 104,361.81

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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.