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Finding the Fourth Proportional to 55,419.39, 83,129.09 and 13,866.39

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Solution

The fourth proportional to 55,419.39, 83,129.09 and 13,866.39 is: 20,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,419.39 : 83,129.09 = 13,866.39 : x
  2. Step 2: Convert to fraction form
    55,419.39/83,129.09 = 13,866.39/x
  3. Step 3: Cross multiply
    55,419.39x = 83,129.09 × 13,866.39
  4. Step 4: Simplify right side
    55,419.39x = 1,152,700,312.95
  5. Step 5: Solve for x
    x = 1,152,700,312.95/55,419.39
  6. Step 6: Final answer
    x = 20,799.59

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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.