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Finding the Fourth Proportional to 226,659.84, 339,985.92 and 78,912

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Solution

The fourth proportional to 226,659.84, 339,985.92 and 78,912 is: 118,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,659.84 : 339,985.92 = 78,912 : x
  2. Step 2: Convert to fraction form
    226,659.84/339,985.92 = 78,912/x
  3. Step 3: Cross multiply
    226,659.84x = 339,985.92 × 78,912
  4. Step 4: Simplify right side
    226,659.84x = 26,828,968,919.04
  5. Step 5: Solve for x
    x = 26,828,968,919.04/226,659.84
  6. Step 6: Final answer
    x = 118,366.66

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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.