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Finding the Fourth Proportional to 85,825, 128,737.68 and 36,577

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Solution

The fourth proportional to 85,825, 128,737.68 and 36,577 is: 54,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825 : 128,737.68 = 36,577 : x
  2. Step 2: Convert to fraction form
    85,825/128,737.68 = 36,577/x
  3. Step 3: Cross multiply
    85,825x = 128,737.68 × 36,577
  4. Step 4: Simplify right side
    85,825x = 4,708,838,121.36
  5. Step 5: Solve for x
    x = 4,708,838,121.36/85,825
  6. Step 6: Final answer
    x = 54,865.58

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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.