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Finding the Fourth Proportional to 104,406, 144,080.38 and 56,659.36

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Solution

The fourth proportional to 104,406, 144,080.38 and 56,659.36 is: 78,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,406 : 144,080.38 = 56,659.36 : x
  2. Step 2: Convert to fraction form
    104,406/144,080.38 = 56,659.36/x
  3. Step 3: Cross multiply
    104,406x = 144,080.38 × 56,659.36
  4. Step 4: Simplify right side
    104,406x = 8,163,501,829.98
  5. Step 5: Solve for x
    x = 8,163,501,829.98/104,406
  6. Step 6: Final answer
    x = 78,189.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.