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Finding the Fourth Proportional to 78,816, 118,224 and 23,412

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Solution

The fourth proportional to 78,816, 118,224 and 23,412 is: 35,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816 : 118,224 = 23,412 : x
  2. Step 2: Convert to fraction form
    78,816/118,224 = 23,412/x
  3. Step 3: Cross multiply
    78,816x = 118,224 × 23,412
  4. Step 4: Simplify right side
    78,816x = 2,767,860,288
  5. Step 5: Solve for x
    x = 2,767,860,288/78,816
  6. Step 6: Final answer
    x = 35,118

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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.