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Finding the Fourth Proportional to 259,472.16, 389,260.89 and 109,712.07

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Solution

The fourth proportional to 259,472.16, 389,260.89 and 109,712.07 is: 164,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,472.16 : 389,260.89 = 109,712.07 : x
  2. Step 2: Convert to fraction form
    259,472.16/389,260.89 = 109,712.07/x
  3. Step 3: Cross multiply
    259,472.16x = 389,260.89 × 109,712.07
  4. Step 4: Simplify right side
    259,472.16x = 42,706,618,011.94
  5. Step 5: Solve for x
    x = 42,706,618,011.94/259,472.16
  6. Step 6: Final answer
    x = 164,590.37

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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.