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Finding the Fourth Proportional to 231,008, 346,650.24 and 99,680

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Solution

The fourth proportional to 231,008, 346,650.24 and 99,680 is: 149,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,008 : 346,650.24 = 99,680 : x
  2. Step 2: Convert to fraction form
    231,008/346,650.24 = 99,680/x
  3. Step 3: Cross multiply
    231,008x = 346,650.24 × 99,680
  4. Step 4: Simplify right side
    231,008x = 34,554,095,923.20
  5. Step 5: Solve for x
    x = 34,554,095,923.20/231,008
  6. Step 6: Final answer
    x = 149,579.65

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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.