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Finding the Fourth Proportional to 259,742, 389,624.08 and 102,004.64

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Solution

The fourth proportional to 259,742, 389,624.08 and 102,004.64 is: 153,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742 : 389,624.08 = 102,004.64 : x
  2. Step 2: Convert to fraction form
    259,742/389,624.08 = 102,004.64/x
  3. Step 3: Cross multiply
    259,742x = 389,624.08 × 102,004.64
  4. Step 4: Simplify right side
    259,742x = 39,743,464,015.73
  5. Step 5: Solve for x
    x = 39,743,464,015.73/259,742
  6. Step 6: Final answer
    x = 153,011.31

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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.