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Finding the Fourth Proportional to 259,613, 358,265.96 and 140,381

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Solution

The fourth proportional to 259,613, 358,265.96 and 140,381 is: 193,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,613 : 358,265.96 = 140,381 : x
  2. Step 2: Convert to fraction form
    259,613/358,265.96 = 140,381/x
  3. Step 3: Cross multiply
    259,613x = 358,265.96 × 140,381
  4. Step 4: Simplify right side
    259,613x = 50,293,733,730.76
  5. Step 5: Solve for x
    x = 50,293,733,730.76/259,613
  6. Step 6: Final answer
    x = 193,725.79

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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.