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Finding the Fourth Proportional to 72,927.31, 109,390.97 and 23,679.31

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Solution

The fourth proportional to 72,927.31, 109,390.97 and 23,679.31 is: 35,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,927.31 : 109,390.97 = 23,679.31 : x
  2. Step 2: Convert to fraction form
    72,927.31/109,390.97 = 23,679.31/x
  3. Step 3: Cross multiply
    72,927.31x = 109,390.97 × 23,679.31
  4. Step 4: Simplify right side
    72,927.31x = 2,590,302,689.83
  5. Step 5: Solve for x
    x = 2,590,302,689.83/72,927.31
  6. Step 6: Final answer
    x = 35,518.97

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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.