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Finding the Fourth Proportional to 55,140.40, 82,710.60 and 50,215.60

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Solution

The fourth proportional to 55,140.40, 82,710.60 and 50,215.60 is: 75,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,140.40 : 82,710.60 = 50,215.60 : x
  2. Step 2: Convert to fraction form
    55,140.40/82,710.60 = 50,215.60/x
  3. Step 3: Cross multiply
    55,140.40x = 82,710.60 × 50,215.60
  4. Step 4: Simplify right side
    55,140.40x = 4,153,362,405.36
  5. Step 5: Solve for x
    x = 4,153,362,405.36/55,140.40
  6. Step 6: Final answer
    x = 75,323.40

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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.