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Finding the Fourth Proportional to 131,470.70, 197,206.05 and 81,704.30

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Solution

The fourth proportional to 131,470.70, 197,206.05 and 81,704.30 is: 122,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470.70 : 197,206.05 = 81,704.30 : x
  2. Step 2: Convert to fraction form
    131,470.70/197,206.05 = 81,704.30/x
  3. Step 3: Cross multiply
    131,470.70x = 197,206.05 × 81,704.30
  4. Step 4: Simplify right side
    131,470.70x = 16,112,582,271.02
  5. Step 5: Solve for x
    x = 16,112,582,271.02/131,470.70
  6. Step 6: Final answer
    x = 122,556.45

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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.