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Finding the Fourth Proportional to 259,902, 358,665.84 and 140,670

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Solution

The fourth proportional to 259,902, 358,665.84 and 140,670 is: 194,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,902 : 358,665.84 = 140,670 : x
  2. Step 2: Convert to fraction form
    259,902/358,665.84 = 140,670/x
  3. Step 3: Cross multiply
    259,902x = 358,665.84 × 140,670
  4. Step 4: Simplify right side
    259,902x = 50,453,523,712.80
  5. Step 5: Solve for x
    x = 50,453,523,712.80/259,902
  6. Step 6: Final answer
    x = 194,125.18

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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.