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Finding the Fourth Proportional to 57,230.30, 78,978.04 and 32,079.80

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Solution

The fourth proportional to 57,230.30, 78,978.04 and 32,079.80 is: 44,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.30 : 78,978.04 = 32,079.80 : x
  2. Step 2: Convert to fraction form
    57,230.30/78,978.04 = 32,079.80/x
  3. Step 3: Cross multiply
    57,230.30x = 78,978.04 × 32,079.80
  4. Step 4: Simplify right side
    57,230.30x = 2,533,599,400.59
  5. Step 5: Solve for x
    x = 2,533,599,400.59/57,230.30
  6. Step 6: Final answer
    x = 44,270.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.