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Finding the Fourth Proportional to 142,649.20, 214,127.40 and 80,441.20

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Solution

The fourth proportional to 142,649.20, 214,127.40 and 80,441.20 is: 120,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.20 : 214,127.40 = 80,441.20 : x
  2. Step 2: Convert to fraction form
    142,649.20/214,127.40 = 80,441.20/x
  3. Step 3: Cross multiply
    142,649.20x = 214,127.40 × 80,441.20
  4. Step 4: Simplify right side
    142,649.20x = 17,224,665,008.88
  5. Step 5: Solve for x
    x = 17,224,665,008.88/142,649.20
  6. Step 6: Final answer
    x = 120,748.42

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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.