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Finding the Fourth Proportional to 135,401.34, 186,864.34 and 74,977.60

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Solution

The fourth proportional to 135,401.34, 186,864.34 and 74,977.60 is: 103,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,401.34 : 186,864.34 = 74,977.60 : x
  2. Step 2: Convert to fraction form
    135,401.34/186,864.34 = 74,977.60/x
  3. Step 3: Cross multiply
    135,401.34x = 186,864.34 × 74,977.60
  4. Step 4: Simplify right side
    135,401.34x = 14,010,639,738.78
  5. Step 5: Solve for x
    x = 14,010,639,738.78/135,401.34
  6. Step 6: Final answer
    x = 103,474.90

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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.