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Finding the Fourth Proportional to 78,624, 117,936 and 23,224.32

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Solution

The fourth proportional to 78,624, 117,936 and 23,224.32 is: 34,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 117,936 = 23,224.32 : x
  2. Step 2: Convert to fraction form
    78,624/117,936 = 23,224.32/x
  3. Step 3: Cross multiply
    78,624x = 117,936 × 23,224.32
  4. Step 4: Simplify right side
    78,624x = 2,738,983,403.52
  5. Step 5: Solve for x
    x = 2,738,983,403.52/78,624
  6. Step 6: Final answer
    x = 34,836.48

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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.