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Finding the Fourth Proportional to 72,927, 109,390.50 and 23,679

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Solution

The fourth proportional to 72,927, 109,390.50 and 23,679 is: 35,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,927 : 109,390.50 = 23,679 : x
  2. Step 2: Convert to fraction form
    72,927/109,390.50 = 23,679/x
  3. Step 3: Cross multiply
    72,927x = 109,390.50 × 23,679
  4. Step 4: Simplify right side
    72,927x = 2,590,257,649.50
  5. Step 5: Solve for x
    x = 2,590,257,649.50/72,927
  6. Step 6: Final answer
    x = 35,518.50

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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.