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Finding the Fourth Proportional to 259,944, 358,723.68 and 140,712

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Solution

The fourth proportional to 259,944, 358,723.68 and 140,712 is: 194,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,944 : 358,723.68 = 140,712 : x
  2. Step 2: Convert to fraction form
    259,944/358,723.68 = 140,712/x
  3. Step 3: Cross multiply
    259,944x = 358,723.68 × 140,712
  4. Step 4: Simplify right side
    259,944x = 50,476,726,460.16
  5. Step 5: Solve for x
    x = 50,476,726,460.16/259,944
  6. Step 6: Final answer
    x = 194,183.08

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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.