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Finding the Fourth Proportional to 55,405.60, 83,108.39 and 13,852.60

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Solution

The fourth proportional to 55,405.60, 83,108.39 and 13,852.60 is: 20,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.60 : 83,108.39 = 13,852.60 : x
  2. Step 2: Convert to fraction form
    55,405.60/83,108.39 = 13,852.60/x
  3. Step 3: Cross multiply
    55,405.60x = 83,108.39 × 13,852.60
  4. Step 4: Simplify right side
    55,405.60x = 1,151,267,110.17
  5. Step 5: Solve for x
    x = 1,151,267,110.17/55,405.60
  6. Step 6: Final answer
    x = 20,778.90

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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.