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Finding the Fourth Proportional to 138,074.40, 206,965.80 and 78,782.40

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Solution

The fourth proportional to 138,074.40, 206,965.80 and 78,782.40 is: 118,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,074.40 : 206,965.80 = 78,782.40 : x
  2. Step 2: Convert to fraction form
    138,074.40/206,965.80 = 78,782.40/x
  3. Step 3: Cross multiply
    138,074.40x = 206,965.80 × 78,782.40
  4. Step 4: Simplify right side
    138,074.40x = 16,305,262,441.92
  5. Step 5: Solve for x
    x = 16,305,262,441.92/138,074.40
  6. Step 6: Final answer
    x = 118,090.41

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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.