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Finding the Fourth Proportional to 69,419.83, 104,129.40 and 16,829.32

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Solution

The fourth proportional to 69,419.83, 104,129.40 and 16,829.32 is: 25,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,419.83 : 104,129.40 = 16,829.32 : x
  2. Step 2: Convert to fraction form
    69,419.83/104,129.40 = 16,829.32/x
  3. Step 3: Cross multiply
    69,419.83x = 104,129.40 × 16,829.32
  4. Step 4: Simplify right side
    69,419.83x = 1,752,426,994.01
  5. Step 5: Solve for x
    x = 1,752,426,994.01/69,419.83
  6. Step 6: Final answer
    x = 25,243.90

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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.