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Finding the Fourth Proportional to 145,408.60, 217,844.10 and 82,893.40

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Solution

The fourth proportional to 145,408.60, 217,844.10 and 82,893.40 is: 124,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.60 : 217,844.10 = 82,893.40 : x
  2. Step 2: Convert to fraction form
    145,408.60/217,844.10 = 82,893.40/x
  3. Step 3: Cross multiply
    145,408.60x = 217,844.10 × 82,893.40
  4. Step 4: Simplify right side
    145,408.60x = 18,057,838,118.94
  5. Step 5: Solve for x
    x = 18,057,838,118.94/145,408.60
  6. Step 6: Final answer
    x = 124,186.86

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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.