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Finding the Fourth Proportional to 188,398.02, 282,215.22 and 87,052

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Solution

The fourth proportional to 188,398.02, 282,215.22 and 87,052 is: 130,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,398.02 : 282,215.22 = 87,052 : x
  2. Step 2: Convert to fraction form
    188,398.02/282,215.22 = 87,052/x
  3. Step 3: Cross multiply
    188,398.02x = 282,215.22 × 87,052
  4. Step 4: Simplify right side
    188,398.02x = 24,567,399,331.44
  5. Step 5: Solve for x
    x = 24,567,399,331.44/188,398.02
  6. Step 6: Final answer
    x = 130,401.58

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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.