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Finding the Fourth Proportional to 57,221.76, 85,856.26 and 30,895.50

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Solution

The fourth proportional to 57,221.76, 85,856.26 and 30,895.50 is: 46,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.76 : 85,856.26 = 30,895.50 : x
  2. Step 2: Convert to fraction form
    57,221.76/85,856.26 = 30,895.50/x
  3. Step 3: Cross multiply
    57,221.76x = 85,856.26 × 30,895.50
  4. Step 4: Simplify right side
    57,221.76x = 2,652,572,080.83
  5. Step 5: Solve for x
    x = 2,652,572,080.83/57,221.76
  6. Step 6: Final answer
    x = 46,356.00

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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.