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Finding the Fourth Proportional to 85,536, 128,355.84 and 36,288

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Solution

The fourth proportional to 85,536, 128,355.84 and 36,288 is: 54,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,536 : 128,355.84 = 36,288 : x
  2. Step 2: Convert to fraction form
    85,536/128,355.84 = 36,288/x
  3. Step 3: Cross multiply
    85,536x = 128,355.84 × 36,288
  4. Step 4: Simplify right side
    85,536x = 4,657,776,721.92
  5. Step 5: Solve for x
    x = 4,657,776,721.92/85,536
  6. Step 6: Final answer
    x = 54,453.99

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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.