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Finding the Fourth Proportional to 57,270.60, 85,905.90 and 39,774.60

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Solution

The fourth proportional to 57,270.60, 85,905.90 and 39,774.60 is: 59,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270.60 : 85,905.90 = 39,774.60 : x
  2. Step 2: Convert to fraction form
    57,270.60/85,905.90 = 39,774.60/x
  3. Step 3: Cross multiply
    57,270.60x = 85,905.90 × 39,774.60
  4. Step 4: Simplify right side
    57,270.60x = 3,416,872,810.14
  5. Step 5: Solve for x
    x = 3,416,872,810.14/57,270.60
  6. Step 6: Final answer
    x = 59,661.90

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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.