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Finding the Fourth Proportional to 85,562, 128,394.84 and 36,314

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Solution

The fourth proportional to 85,562, 128,394.84 and 36,314 is: 54,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,562 : 128,394.84 = 36,314 : x
  2. Step 2: Convert to fraction form
    85,562/128,394.84 = 36,314/x
  3. Step 3: Cross multiply
    85,562x = 128,394.84 × 36,314
  4. Step 4: Simplify right side
    85,562x = 4,662,530,219.76
  5. Step 5: Solve for x
    x = 4,662,530,219.76/85,562
  6. Step 6: Final answer
    x = 54,493.00

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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.