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Finding the Fourth Proportional to 55,116.82, 82,712 and 35,409.52

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Solution

The fourth proportional to 55,116.82, 82,712 and 35,409.52 is: 53,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116.82 : 82,712 = 35,409.52 : x
  2. Step 2: Convert to fraction form
    55,116.82/82,712 = 35,409.52/x
  3. Step 3: Cross multiply
    55,116.82x = 82,712 × 35,409.52
  4. Step 4: Simplify right side
    55,116.82x = 2,928,792,218.24
  5. Step 5: Solve for x
    x = 2,928,792,218.24/55,116.82
  6. Step 6: Final answer
    x = 53,137.90

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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.