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Finding the Fourth Proportional to 260,069.76, 390,064.80 and 82,553.76

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Solution

The fourth proportional to 260,069.76, 390,064.80 and 82,553.76 is: 123,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,069.76 : 390,064.80 = 82,553.76 : x
  2. Step 2: Convert to fraction form
    260,069.76/390,064.80 = 82,553.76/x
  3. Step 3: Cross multiply
    260,069.76x = 390,064.80 × 82,553.76
  4. Step 4: Simplify right side
    260,069.76x = 32,201,315,883.65
  5. Step 5: Solve for x
    x = 32,201,315,883.65/260,069.76
  6. Step 6: Final answer
    x = 123,817.99

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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.