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Finding the Fourth Proportional to 142,855.40, 214,777.20 and 133,605.20

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Solution

The fourth proportional to 142,855.40, 214,777.20 and 133,605.20 is: 200,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,855.40 : 214,777.20 = 133,605.20 : x
  2. Step 2: Convert to fraction form
    142,855.40/214,777.20 = 133,605.20/x
  3. Step 3: Cross multiply
    142,855.40x = 214,777.20 × 133,605.20
  4. Step 4: Simplify right side
    142,855.40x = 28,695,350,761.44
  5. Step 5: Solve for x
    x = 28,695,350,761.44/142,855.40
  6. Step 6: Final answer
    x = 200,869.91

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1.5x scale

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.