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Finding the Fourth Proportional to 78,060, 117,090 and 28,812

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Solution

The fourth proportional to 78,060, 117,090 and 28,812 is: 43,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,060 : 117,090 = 28,812 : x
  2. Step 2: Convert to fraction form
    78,060/117,090 = 28,812/x
  3. Step 3: Cross multiply
    78,060x = 117,090 × 28,812
  4. Step 4: Simplify right side
    78,060x = 3,373,597,080
  5. Step 5: Solve for x
    x = 3,373,597,080/78,060
  6. Step 6: Final answer
    x = 43,218

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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.