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Finding the Fourth Proportional to 259,870, 358,620.80 and 140,638

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Solution

The fourth proportional to 259,870, 358,620.80 and 140,638 is: 194,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,870 : 358,620.80 = 140,638 : x
  2. Step 2: Convert to fraction form
    259,870/358,620.80 = 140,638/x
  3. Step 3: Cross multiply
    259,870x = 358,620.80 × 140,638
  4. Step 4: Simplify right side
    259,870x = 50,435,712,070.40
  5. Step 5: Solve for x
    x = 50,435,712,070.40/259,870
  6. Step 6: Final answer
    x = 194,080.55

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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.