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Finding the Fourth Proportional to 192,419.70, 288,435.15 and 87,314.10

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Solution

The fourth proportional to 192,419.70, 288,435.15 and 87,314.10 is: 130,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,419.70 : 288,435.15 = 87,314.10 : x
  2. Step 2: Convert to fraction form
    192,419.70/288,435.15 = 87,314.10/x
  3. Step 3: Cross multiply
    192,419.70x = 288,435.15 × 87,314.10
  4. Step 4: Simplify right side
    192,419.70x = 25,184,455,530.62
  5. Step 5: Solve for x
    x = 25,184,455,530.62/192,419.70
  6. Step 6: Final answer
    x = 130,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.