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Finding the Fourth Proportional to 154,458, 231,705.36 and 54,597.60

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Solution

The fourth proportional to 154,458, 231,705.36 and 54,597.60 is: 81,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,458 : 231,705.36 = 54,597.60 : x
  2. Step 2: Convert to fraction form
    154,458/231,705.36 = 54,597.60/x
  3. Step 3: Cross multiply
    154,458x = 231,705.36 × 54,597.60
  4. Step 4: Simplify right side
    154,458x = 12,650,556,563.14
  5. Step 5: Solve for x
    x = 12,650,556,563.14/154,458
  6. Step 6: Final answer
    x = 81,902.89

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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.