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Finding the Fourth Proportional to 136,978.40, 205,467.60 and 89,739.20

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Solution

The fourth proportional to 136,978.40, 205,467.60 and 89,739.20 is: 134,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,978.40 : 205,467.60 = 89,739.20 : x
  2. Step 2: Convert to fraction form
    136,978.40/205,467.60 = 89,739.20/x
  3. Step 3: Cross multiply
    136,978.40x = 205,467.60 × 89,739.20
  4. Step 4: Simplify right side
    136,978.40x = 18,438,498,049.92
  5. Step 5: Solve for x
    x = 18,438,498,049.92/136,978.40
  6. Step 6: Final answer
    x = 134,608.80

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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.