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Finding the Fourth Proportional to 55,140.60, 82,797.30 and 31,812.60

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Solution

The fourth proportional to 55,140.60, 82,797.30 and 31,812.60 is: 47,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,140.60 : 82,797.30 = 31,812.60 : x
  2. Step 2: Convert to fraction form
    55,140.60/82,797.30 = 31,812.60/x
  3. Step 3: Cross multiply
    55,140.60x = 82,797.30 × 31,812.60
  4. Step 4: Simplify right side
    55,140.60x = 2,633,997,385.98
  5. Step 5: Solve for x
    x = 2,633,997,385.98/55,140.60
  6. Step 6: Final answer
    x = 47,768.75

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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.