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Finding the Fourth Proportional to 260,054.88, 390,078.66 and 82,559.16

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Solution

The fourth proportional to 260,054.88, 390,078.66 and 82,559.16 is: 123,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,054.88 : 390,078.66 = 82,559.16 : x
  2. Step 2: Convert to fraction form
    260,054.88/390,078.66 = 82,559.16/x
  3. Step 3: Cross multiply
    260,054.88x = 390,078.66 × 82,559.16
  4. Step 4: Simplify right side
    260,054.88x = 32,204,566,503.53
  5. Step 5: Solve for x
    x = 32,204,566,503.53/260,054.88
  6. Step 6: Final answer
    x = 123,837.58

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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.