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Finding the Fourth Proportional to 259,853, 358,597.32 and 140,621

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Solution

The fourth proportional to 259,853, 358,597.32 and 140,621 is: 194,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,853 : 358,597.32 = 140,621 : x
  2. Step 2: Convert to fraction form
    259,853/358,597.32 = 140,621/x
  3. Step 3: Cross multiply
    259,853x = 358,597.32 × 140,621
  4. Step 4: Simplify right side
    259,853x = 50,426,313,735.72
  5. Step 5: Solve for x
    x = 50,426,313,735.72/259,853
  6. Step 6: Final answer
    x = 194,057.08

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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.