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Finding the Fourth Proportional to 281,093.25, 387,909.90 and 153,770.97

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Solution

The fourth proportional to 281,093.25, 387,909.90 and 153,770.97 is: 212,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,093.25 : 387,909.90 = 153,770.97 : x
  2. Step 2: Convert to fraction form
    281,093.25/387,909.90 = 153,770.97/x
  3. Step 3: Cross multiply
    281,093.25x = 387,909.90 × 153,770.97
  4. Step 4: Simplify right side
    281,093.25x = 59,649,281,595.60
  5. Step 5: Solve for x
    x = 59,649,281,595.60/281,093.25
  6. Step 6: Final answer
    x = 212,204.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.