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Finding the Fourth Proportional to 72,928, 109,392 and 23,680

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Solution

The fourth proportional to 72,928, 109,392 and 23,680 is: 35,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,928 : 109,392 = 23,680 : x
  2. Step 2: Convert to fraction form
    72,928/109,392 = 23,680/x
  3. Step 3: Cross multiply
    72,928x = 109,392 × 23,680
  4. Step 4: Simplify right side
    72,928x = 2,590,402,560
  5. Step 5: Solve for x
    x = 2,590,402,560/72,928
  6. Step 6: Final answer
    x = 35,520

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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.