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Finding the Fourth Proportional to 260,107.80, 390,325.72 and 102,315.75

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Solution

The fourth proportional to 260,107.80, 390,325.72 and 102,315.75 is: 153,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,107.80 : 390,325.72 = 102,315.75 : x
  2. Step 2: Convert to fraction form
    260,107.80/390,325.72 = 102,315.75/x
  3. Step 3: Cross multiply
    260,107.80x = 390,325.72 × 102,315.75
  4. Step 4: Simplify right side
    260,107.80x = 39,936,468,786.09
  5. Step 5: Solve for x
    x = 39,936,468,786.09/260,107.80
  6. Step 6: Final answer
    x = 153,538.14

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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.