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Finding the Fourth Proportional to 259,852, 358,595.94 and 140,620

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Solution

The fourth proportional to 259,852, 358,595.94 and 140,620 is: 194,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,852 : 358,595.94 = 140,620 : x
  2. Step 2: Convert to fraction form
    259,852/358,595.94 = 140,620/x
  3. Step 3: Cross multiply
    259,852x = 358,595.94 × 140,620
  4. Step 4: Simplify right side
    259,852x = 50,425,761,082.80
  5. Step 5: Solve for x
    x = 50,425,761,082.80/259,852
  6. Step 6: Final answer
    x = 194,055.70

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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.