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Finding the Fourth Proportional to 260,086.19, 390,142.78 and 82,607.09

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Solution

The fourth proportional to 260,086.19, 390,142.78 and 82,607.09 is: 123,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,086.19 : 390,142.78 = 82,607.09 : x
  2. Step 2: Convert to fraction form
    260,086.19/390,142.78 = 82,607.09/x
  3. Step 3: Cross multiply
    260,086.19x = 390,142.78 × 82,607.09
  4. Step 4: Simplify right side
    260,086.19x = 32,228,557,583.08
  5. Step 5: Solve for x
    x = 32,228,557,583.08/260,086.19
  6. Step 6: Final answer
    x = 123,914.92

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1.5x scale

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.