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Finding the Fourth Proportional to 78,678, 108,575.64 and 43,350

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Solution

The fourth proportional to 78,678, 108,575.64 and 43,350 is: 59,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678 : 108,575.64 = 43,350 : x
  2. Step 2: Convert to fraction form
    78,678/108,575.64 = 43,350/x
  3. Step 3: Cross multiply
    78,678x = 108,575.64 × 43,350
  4. Step 4: Simplify right side
    78,678x = 4,706,753,994
  5. Step 5: Solve for x
    x = 4,706,753,994/78,678
  6. Step 6: Final answer
    x = 59,823

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.