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Finding the Fourth Proportional to 100,210.82, 138,285.98 and 54,889

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Solution

The fourth proportional to 100,210.82, 138,285.98 and 54,889 is: 75,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210.82 : 138,285.98 = 54,889 : x
  2. Step 2: Convert to fraction form
    100,210.82/138,285.98 = 54,889/x
  3. Step 3: Cross multiply
    100,210.82x = 138,285.98 × 54,889
  4. Step 4: Simplify right side
    100,210.82x = 7,590,379,156.22
  5. Step 5: Solve for x
    x = 7,590,379,156.22/100,210.82
  6. Step 6: Final answer
    x = 75,744.11

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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.