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Finding the Fourth Proportional to 131,546.60, 197,384.70 and 75,429.80

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Solution

The fourth proportional to 131,546.60, 197,384.70 and 75,429.80 is: 113,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,546.60 : 197,384.70 = 75,429.80 : x
  2. Step 2: Convert to fraction form
    131,546.60/197,384.70 = 75,429.80/x
  3. Step 3: Cross multiply
    131,546.60x = 197,384.70 × 75,429.80
  4. Step 4: Simplify right side
    131,546.60x = 14,888,688,444.06
  5. Step 5: Solve for x
    x = 14,888,688,444.06/131,546.60
  6. Step 6: Final answer
    x = 113,181.86

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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.