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Finding the Fourth Proportional to 135,102.34, 186,450.87 and 74,671.68

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Solution

The fourth proportional to 135,102.34, 186,450.87 and 74,671.68 is: 103,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,102.34 : 186,450.87 = 74,671.68 : x
  2. Step 2: Convert to fraction form
    135,102.34/186,450.87 = 74,671.68/x
  3. Step 3: Cross multiply
    135,102.34x = 186,450.87 × 74,671.68
  4. Step 4: Simplify right side
    135,102.34x = 13,922,599,700.36
  5. Step 5: Solve for x
    x = 13,922,599,700.36/135,102.34
  6. Step 6: Final answer
    x = 103,052.25

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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.