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Finding the Fourth Proportional to 78,675.30, 117,996.51 and 28,778.88

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Solution

The fourth proportional to 78,675.30, 117,996.51 and 28,778.88 is: 43,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,675.30 : 117,996.51 = 28,778.88 : x
  2. Step 2: Convert to fraction form
    78,675.30/117,996.51 = 28,778.88/x
  3. Step 3: Cross multiply
    78,675.30x = 117,996.51 × 28,778.88
  4. Step 4: Simplify right side
    78,675.30x = 3,395,807,401.71
  5. Step 5: Solve for x
    x = 3,395,807,401.71/78,675.30
  6. Step 6: Final answer
    x = 43,162.31

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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.