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Finding the Fourth Proportional to 260,083.94, 390,139.43 and 82,604.84

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Solution

The fourth proportional to 260,083.94, 390,139.43 and 82,604.84 is: 123,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.94 : 390,139.43 = 82,604.84 : x
  2. Step 2: Convert to fraction form
    260,083.94/390,139.43 = 82,604.84/x
  3. Step 3: Cross multiply
    260,083.94x = 390,139.43 × 82,604.84
  4. Step 4: Simplify right side
    260,083.94x = 32,227,402,829.12
  5. Step 5: Solve for x
    x = 32,227,402,829.12/260,083.94
  6. Step 6: Final answer
    x = 123,911.55

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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.