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Finding the Fourth Proportional to 259,865.88, 358,614.91 and 140,633.88

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Solution

The fourth proportional to 259,865.88, 358,614.91 and 140,633.88 is: 194,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865.88 : 358,614.91 = 140,633.88 : x
  2. Step 2: Convert to fraction form
    259,865.88/358,614.91 = 140,633.88/x
  3. Step 3: Cross multiply
    259,865.88x = 358,614.91 × 140,633.88
  4. Step 4: Simplify right side
    259,865.88x = 50,433,406,219.15
  5. Step 5: Solve for x
    x = 50,433,406,219.15/259,865.88
  6. Step 6: Final answer
    x = 194,074.75

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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.