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Finding the Fourth Proportional to 154,415.80, 231,602.10 and 49,245.40

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Solution

The fourth proportional to 154,415.80, 231,602.10 and 49,245.40 is: 73,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,415.80 : 231,602.10 = 49,245.40 : x
  2. Step 2: Convert to fraction form
    154,415.80/231,602.10 = 49,245.40/x
  3. Step 3: Cross multiply
    154,415.80x = 231,602.10 × 49,245.40
  4. Step 4: Simplify right side
    154,415.80x = 11,405,338,055.34
  5. Step 5: Solve for x
    x = 11,405,338,055.34/154,415.80
  6. Step 6: Final answer
    x = 73,861.21

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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.