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Finding the Fourth Proportional to 140,581.40, 210,920.70 and 135,721.40

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Solution

The fourth proportional to 140,581.40, 210,920.70 and 135,721.40 is: 203,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,581.40 : 210,920.70 = 135,721.40 : x
  2. Step 2: Convert to fraction form
    140,581.40/210,920.70 = 135,721.40/x
  3. Step 3: Cross multiply
    140,581.40x = 210,920.70 × 135,721.40
  4. Step 4: Simplify right side
    140,581.40x = 28,626,452,692.98
  5. Step 5: Solve for x
    x = 28,626,452,692.98/140,581.40
  6. Step 6: Final answer
    x = 203,629.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.