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Finding the Fourth Proportional to 260,079.82, 390,133.22 and 82,600.72

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Solution

The fourth proportional to 260,079.82, 390,133.22 and 82,600.72 is: 123,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,079.82 : 390,133.22 = 82,600.72 : x
  2. Step 2: Convert to fraction form
    260,079.82/390,133.22 = 82,600.72/x
  3. Step 3: Cross multiply
    260,079.82x = 390,133.22 × 82,600.72
  4. Step 4: Simplify right side
    260,079.82x = 32,225,284,867.92
  5. Step 5: Solve for x
    x = 32,225,284,867.92/260,079.82
  6. Step 6: Final answer
    x = 123,905.36

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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.