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Finding the Fourth Proportional to 78,546.34, 117,850.92 and 28,630

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Solution

The fourth proportional to 78,546.34, 117,850.92 and 28,630 is: 42,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.34 : 117,850.92 = 28,630 : x
  2. Step 2: Convert to fraction form
    78,546.34/117,850.92 = 28,630/x
  3. Step 3: Cross multiply
    78,546.34x = 117,850.92 × 28,630
  4. Step 4: Simplify right side
    78,546.34x = 3,374,071,839.60
  5. Step 5: Solve for x
    x = 3,374,071,839.60/78,546.34
  6. Step 6: Final answer
    x = 42,956.45

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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.