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Finding the Fourth Proportional to 154,245.60, 231,392.70 and 49,075.20

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Solution

The fourth proportional to 154,245.60, 231,392.70 and 49,075.20 is: 73,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,245.60 : 231,392.70 = 49,075.20 : x
  2. Step 2: Convert to fraction form
    154,245.60/231,392.70 = 49,075.20/x
  3. Step 3: Cross multiply
    154,245.60x = 231,392.70 × 49,075.20
  4. Step 4: Simplify right side
    154,245.60x = 11,355,643,031.04
  5. Step 5: Solve for x
    x = 11,355,643,031.04/154,245.60
  6. Step 6: Final answer
    x = 73,620.53

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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.