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Finding the Fourth Proportional to 312,135, 468,091.80 and 112,401.78

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Solution

The fourth proportional to 312,135, 468,091.80 and 112,401.78 is: 168,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,135 : 468,091.80 = 112,401.78 : x
  2. Step 2: Convert to fraction form
    312,135/468,091.80 = 112,401.78/x
  3. Step 3: Cross multiply
    312,135x = 468,091.80 × 112,401.78
  4. Step 4: Simplify right side
    312,135x = 52,614,351,523.40
  5. Step 5: Solve for x
    x = 52,614,351,523.40/312,135
  6. Step 6: Final answer
    x = 168,562.81

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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.