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Finding the Fourth Proportional to 135,082.21, 186,408.18 and 77,740

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Solution

The fourth proportional to 135,082.21, 186,408.18 and 77,740 is: 107,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,082.21 : 186,408.18 = 77,740 : x
  2. Step 2: Convert to fraction form
    135,082.21/186,408.18 = 77,740/x
  3. Step 3: Cross multiply
    135,082.21x = 186,408.18 × 77,740
  4. Step 4: Simplify right side
    135,082.21x = 14,491,371,913.20
  5. Step 5: Solve for x
    x = 14,491,371,913.20/135,082.21
  6. Step 6: Final answer
    x = 107,278.17

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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.