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Finding the Fourth Proportional to 78,744.64, 118,116.80 and 31,986.56

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Solution

The fourth proportional to 78,744.64, 118,116.80 and 31,986.56 is: 47,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,744.64 : 118,116.80 = 31,986.56 : x
  2. Step 2: Convert to fraction form
    78,744.64/118,116.80 = 31,986.56/x
  3. Step 3: Cross multiply
    78,744.64x = 118,116.80 × 31,986.56
  4. Step 4: Simplify right side
    78,744.64x = 3,778,150,110.21
  5. Step 5: Solve for x
    x = 3,778,150,110.21/78,744.64
  6. Step 6: Final answer
    x = 47,979.78

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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.