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Finding the Fourth Proportional to 57,077.50, 85,655.14 and 20,141.50

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Solution

The fourth proportional to 57,077.50, 85,655.14 and 20,141.50 is: 30,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.50 : 85,655.14 = 20,141.50 : x
  2. Step 2: Convert to fraction form
    57,077.50/85,655.14 = 20,141.50/x
  3. Step 3: Cross multiply
    57,077.50x = 85,655.14 × 20,141.50
  4. Step 4: Simplify right side
    57,077.50x = 1,725,223,002.31
  5. Step 5: Solve for x
    x = 1,725,223,002.31/57,077.50
  6. Step 6: Final answer
    x = 30,225.97

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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.