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Finding the Fourth Proportional to 78,760.84, 118,121.10 and 23,343.88

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Solution

The fourth proportional to 78,760.84, 118,121.10 and 23,343.88 is: 35,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,760.84 : 118,121.10 = 23,343.88 : x
  2. Step 2: Convert to fraction form
    78,760.84/118,121.10 = 23,343.88/x
  3. Step 3: Cross multiply
    78,760.84x = 118,121.10 × 23,343.88
  4. Step 4: Simplify right side
    78,760.84x = 2,757,404,783.87
  5. Step 5: Solve for x
    x = 2,757,404,783.87/78,760.84
  6. Step 6: Final answer
    x = 35,009.84

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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.