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Finding the Fourth Proportional to 260,742.48, 391,113.72 and 136,054.32

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Solution

The fourth proportional to 260,742.48, 391,113.72 and 136,054.32 is: 204,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742.48 : 391,113.72 = 136,054.32 : x
  2. Step 2: Convert to fraction form
    260,742.48/391,113.72 = 136,054.32/x
  3. Step 3: Cross multiply
    260,742.48x = 391,113.72 × 136,054.32
  4. Step 4: Simplify right side
    260,742.48x = 53,212,711,217.27
  5. Step 5: Solve for x
    x = 53,212,711,217.27/260,742.48
  6. Step 6: Final answer
    x = 204,081.48

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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.