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Finding the Fourth Proportional to 154,190.70, 231,176.70 and 69,991.20

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Solution

The fourth proportional to 154,190.70, 231,176.70 and 69,991.20 is: 104,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,190.70 : 231,176.70 = 69,991.20 : x
  2. Step 2: Convert to fraction form
    154,190.70/231,176.70 = 69,991.20/x
  3. Step 3: Cross multiply
    154,190.70x = 231,176.70 × 69,991.20
  4. Step 4: Simplify right side
    154,190.70x = 16,180,334,645.04
  5. Step 5: Solve for x
    x = 16,180,334,645.04/154,190.70
  6. Step 6: Final answer
    x = 104,937.16

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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.