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Finding the Fourth Proportional to 144,871.60, 217,404.60 and 85,644.40

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Solution

The fourth proportional to 144,871.60, 217,404.60 and 85,644.40 is: 128,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.60 : 217,404.60 = 85,644.40 : x
  2. Step 2: Convert to fraction form
    144,871.60/217,404.60 = 85,644.40/x
  3. Step 3: Cross multiply
    144,871.60x = 217,404.60 × 85,644.40
  4. Step 4: Simplify right side
    144,871.60x = 18,619,486,524.24
  5. Step 5: Solve for x
    x = 18,619,486,524.24/144,871.60
  6. Step 6: Final answer
    x = 128,524.06

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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.