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Finding the Fourth Proportional to 85,817, 128,725.68 and 36,569

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Solution

The fourth proportional to 85,817, 128,725.68 and 36,569 is: 54,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817 : 128,725.68 = 36,569 : x
  2. Step 2: Convert to fraction form
    85,817/128,725.68 = 36,569/x
  3. Step 3: Cross multiply
    85,817x = 128,725.68 × 36,569
  4. Step 4: Simplify right side
    85,817x = 4,707,369,391.92
  5. Step 5: Solve for x
    x = 4,707,369,391.92/85,817
  6. Step 6: Final answer
    x = 54,853.58

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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.