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Finding the Fourth Proportional to 142,797.21, 214,198.08 and 54,026.88

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Solution

The fourth proportional to 142,797.21, 214,198.08 and 54,026.88 is: 81,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,797.21 : 214,198.08 = 54,026.88 : x
  2. Step 2: Convert to fraction form
    142,797.21/214,198.08 = 54,026.88/x
  3. Step 3: Cross multiply
    142,797.21x = 214,198.08 × 54,026.88
  4. Step 4: Simplify right side
    142,797.21x = 11,572,453,363.75
  5. Step 5: Solve for x
    x = 11,572,453,363.75/142,797.21
  6. Step 6: Final answer
    x = 81,041.17

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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.