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Finding the Fourth Proportional to 259,557, 358,189.14 and 140,325

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Solution

The fourth proportional to 259,557, 358,189.14 and 140,325 is: 193,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,557 : 358,189.14 = 140,325 : x
  2. Step 2: Convert to fraction form
    259,557/358,189.14 = 140,325/x
  3. Step 3: Cross multiply
    259,557x = 358,189.14 × 140,325
  4. Step 4: Simplify right side
    259,557x = 50,262,891,070.50
  5. Step 5: Solve for x
    x = 50,262,891,070.50/259,557
  6. Step 6: Final answer
    x = 193,648.76

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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.