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Finding the Fourth Proportional to 143,714.84, 215,573.90 and 54,972.86

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Solution

The fourth proportional to 143,714.84, 215,573.90 and 54,972.86 is: 82,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,714.84 : 215,573.90 = 54,972.86 : x
  2. Step 2: Convert to fraction form
    143,714.84/215,573.90 = 54,972.86/x
  3. Step 3: Cross multiply
    143,714.84x = 215,573.90 × 54,972.86
  4. Step 4: Simplify right side
    143,714.84x = 11,850,712,471.62
  5. Step 5: Solve for x
    x = 11,850,712,471.62/143,714.84
  6. Step 6: Final answer
    x = 82,459.91

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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.