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Finding the Fourth Proportional to 137,074.34, 189,149.87 and 75,819.20

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Solution

The fourth proportional to 137,074.34, 189,149.87 and 75,819.20 is: 104,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.34 : 189,149.87 = 75,819.20 : x
  2. Step 2: Convert to fraction form
    137,074.34/189,149.87 = 75,819.20/x
  3. Step 3: Cross multiply
    137,074.34x = 189,149.87 × 75,819.20
  4. Step 4: Simplify right side
    137,074.34x = 14,341,190,498.66
  5. Step 5: Solve for x
    x = 14,341,190,498.66/137,074.34
  6. Step 6: Final answer
    x = 104,623.45

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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.