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Finding the Fourth Proportional to 205,371.10, 307,923.45 and 87,010.30

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Solution

The fourth proportional to 205,371.10, 307,923.45 and 87,010.30 is: 130,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,371.10 : 307,923.45 = 87,010.30 : x
  2. Step 2: Convert to fraction form
    205,371.10/307,923.45 = 87,010.30/x
  3. Step 3: Cross multiply
    205,371.10x = 307,923.45 × 87,010.30
  4. Step 4: Simplify right side
    205,371.10x = 26,792,511,761.54
  5. Step 5: Solve for x
    x = 26,792,511,761.54/205,371.10
  6. Step 6: Final answer
    x = 130,459.02

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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.