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Finding the Fourth Proportional to 194,989.60, 292,257.60 and 89,819.20

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Solution

The fourth proportional to 194,989.60, 292,257.60 and 89,819.20 is: 134,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,989.60 : 292,257.60 = 89,819.20 : x
  2. Step 2: Convert to fraction form
    194,989.60/292,257.60 = 89,819.20/x
  3. Step 3: Cross multiply
    194,989.60x = 292,257.60 × 89,819.20
  4. Step 4: Simplify right side
    194,989.60x = 26,250,343,825.92
  5. Step 5: Solve for x
    x = 26,250,343,825.92/194,989.60
  6. Step 6: Final answer
    x = 134,624.33

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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.