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Finding the Fourth Proportional to 57,222.76, 85,857.76 and 30,896.50

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Solution

The fourth proportional to 57,222.76, 85,857.76 and 30,896.50 is: 46,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.76 : 85,857.76 = 30,896.50 : x
  2. Step 2: Convert to fraction form
    57,222.76/85,857.76 = 30,896.50/x
  3. Step 3: Cross multiply
    57,222.76x = 85,857.76 × 30,896.50
  4. Step 4: Simplify right side
    57,222.76x = 2,652,704,281.84
  5. Step 5: Solve for x
    x = 2,652,704,281.84/57,222.76
  6. Step 6: Final answer
    x = 46,357.50

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1.5x scale

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.