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Finding the Fourth Proportional to 259,871, 358,621.98 and 140,639

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Solution

The fourth proportional to 259,871, 358,621.98 and 140,639 is: 194,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,871 : 358,621.98 = 140,639 : x
  2. Step 2: Convert to fraction form
    259,871/358,621.98 = 140,639/x
  3. Step 3: Cross multiply
    259,871x = 358,621.98 × 140,639
  4. Step 4: Simplify right side
    259,871x = 50,436,236,645.22
  5. Step 5: Solve for x
    x = 50,436,236,645.22/259,871
  6. Step 6: Final answer
    x = 194,081.82

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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.