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Finding the Fourth Proportional to 57,069.50, 85,643.13 and 20,133.50

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Solution

The fourth proportional to 57,069.50, 85,643.13 and 20,133.50 is: 30,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069.50 : 85,643.13 = 20,133.50 : x
  2. Step 2: Convert to fraction form
    57,069.50/85,643.13 = 20,133.50/x
  3. Step 3: Cross multiply
    57,069.50x = 85,643.13 × 20,133.50
  4. Step 4: Simplify right side
    57,069.50x = 1,724,295,957.86
  5. Step 5: Solve for x
    x = 1,724,295,957.86/57,069.50
  6. Step 6: Final answer
    x = 30,213.97

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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.