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Finding the Fourth Proportional to 120,889.60, 166,454.40 and 100,499.20

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Solution

The fourth proportional to 120,889.60, 166,454.40 and 100,499.20 is: 138,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,889.60 : 166,454.40 = 100,499.20 : x
  2. Step 2: Convert to fraction form
    120,889.60/166,454.40 = 100,499.20/x
  3. Step 3: Cross multiply
    120,889.60x = 166,454.40 × 100,499.20
  4. Step 4: Simplify right side
    120,889.60x = 16,728,534,036.48
  5. Step 5: Solve for x
    x = 16,728,534,036.48/120,889.60
  6. Step 6: Final answer
    x = 138,378.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.