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Finding the Fourth Proportional to 126,005.60, 189,008.40 and 72,788.60

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Solution

The fourth proportional to 126,005.60, 189,008.40 and 72,788.60 is: 109,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,005.60 : 189,008.40 = 72,788.60 : x
  2. Step 2: Convert to fraction form
    126,005.60/189,008.40 = 72,788.60/x
  3. Step 3: Cross multiply
    126,005.60x = 189,008.40 × 72,788.60
  4. Step 4: Simplify right side
    126,005.60x = 13,757,656,824.24
  5. Step 5: Solve for x
    x = 13,757,656,824.24/126,005.60
  6. Step 6: Final answer
    x = 109,182.90

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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.