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Finding the Fourth Proportional to 72,805.82, 109,208.66 and 22,890.29

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Solution

The fourth proportional to 72,805.82, 109,208.66 and 22,890.29 is: 34,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.82 : 109,208.66 = 22,890.29 : x
  2. Step 2: Convert to fraction form
    72,805.82/109,208.66 = 22,890.29/x
  3. Step 3: Cross multiply
    72,805.82x = 109,208.66 × 22,890.29
  4. Step 4: Simplify right side
    72,805.82x = 2,499,817,237.42
  5. Step 5: Solve for x
    x = 2,499,817,237.42/72,805.82
  6. Step 6: Final answer
    x = 34,335.41

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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.