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Finding the Fourth Proportional to 259,921, 358,692.06 and 140,689

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Solution

The fourth proportional to 259,921, 358,692.06 and 140,689 is: 194,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,921 : 358,692.06 = 140,689 : x
  2. Step 2: Convert to fraction form
    259,921/358,692.06 = 140,689/x
  3. Step 3: Cross multiply
    259,921x = 358,692.06 × 140,689
  4. Step 4: Simplify right side
    259,921x = 50,464,027,229.34
  5. Step 5: Solve for x
    x = 50,464,027,229.34/259,921
  6. Step 6: Final answer
    x = 194,151.40

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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.