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Finding the Fourth Proportional to 260,084.94, 390,140.93 and 82,605.84

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Solution

The fourth proportional to 260,084.94, 390,140.93 and 82,605.84 is: 123,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084.94 : 390,140.93 = 82,605.84 : x
  2. Step 2: Convert to fraction form
    260,084.94/390,140.93 = 82,605.84/x
  3. Step 3: Cross multiply
    260,084.94x = 390,140.93 × 82,605.84
  4. Step 4: Simplify right side
    260,084.94x = 32,227,919,241.03
  5. Step 5: Solve for x
    x = 32,227,919,241.03/260,084.94
  6. Step 6: Final answer
    x = 123,913.05

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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.