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Finding the Fourth Proportional to 260,083.01, 390,138 and 82,603.91

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Solution

The fourth proportional to 260,083.01, 390,138 and 82,603.91 is: 123,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.01 : 390,138 = 82,603.91 : x
  2. Step 2: Convert to fraction form
    260,083.01/390,138 = 82,603.91/x
  3. Step 3: Cross multiply
    260,083.01x = 390,138 × 82,603.91
  4. Step 4: Simplify right side
    260,083.01x = 32,226,922,288.89
  5. Step 5: Solve for x
    x = 32,226,922,288.89/260,083.01
  6. Step 6: Final answer
    x = 123,910.14

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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.