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Finding the Fourth Proportional to 188,473.09, 282,723.36 and 70,144.39

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Solution

The fourth proportional to 188,473.09, 282,723.36 and 70,144.39 is: 105,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,473.09 : 282,723.36 = 70,144.39 : x
  2. Step 2: Convert to fraction form
    188,473.09/282,723.36 = 70,144.39/x
  3. Step 3: Cross multiply
    188,473.09x = 282,723.36 × 70,144.39
  4. Step 4: Simplify right side
    188,473.09x = 19,831,457,625.95
  5. Step 5: Solve for x
    x = 19,831,457,625.95/188,473.09
  6. Step 6: Final answer
    x = 105,221.69

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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.