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Finding the Fourth Proportional to 188,805.54, 283,257.66 and 70,477.90

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Solution

The fourth proportional to 188,805.54, 283,257.66 and 70,477.90 is: 105,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,805.54 : 283,257.66 = 70,477.90 : x
  2. Step 2: Convert to fraction form
    188,805.54/283,257.66 = 70,477.90/x
  3. Step 3: Cross multiply
    188,805.54x = 283,257.66 × 70,477.90
  4. Step 4: Simplify right side
    188,805.54x = 19,963,405,035.71
  5. Step 5: Solve for x
    x = 19,963,405,035.71/188,805.54
  6. Step 6: Final answer
    x = 105,735.27

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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.