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Finding the Fourth Proportional to 57,179.80, 85,866.90 and 42,405.40

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Solution

The fourth proportional to 57,179.80, 85,866.90 and 42,405.40 is: 63,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,179.80 : 85,866.90 = 42,405.40 : x
  2. Step 2: Convert to fraction form
    57,179.80/85,866.90 = 42,405.40/x
  3. Step 3: Cross multiply
    57,179.80x = 85,866.90 × 42,405.40
  4. Step 4: Simplify right side
    57,179.80x = 3,641,220,241.26
  5. Step 5: Solve for x
    x = 3,641,220,241.26/57,179.80
  6. Step 6: Final answer
    x = 63,680.18

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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.