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Finding the Fourth Proportional to 259,898.42, 358,659.78 and 140,666.42

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Solution

The fourth proportional to 259,898.42, 358,659.78 and 140,666.42 is: 194,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898.42 : 358,659.78 = 140,666.42 : x
  2. Step 2: Convert to fraction form
    259,898.42/358,659.78 = 140,666.42/x
  3. Step 3: Cross multiply
    259,898.42x = 358,659.78 × 140,666.42
  4. Step 4: Simplify right side
    259,898.42x = 50,451,387,250.59
  5. Step 5: Solve for x
    x = 50,451,387,250.59/259,898.42
  6. Step 6: Final answer
    x = 194,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.