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Finding the Fourth Proportional to 86,674.20, 130,011.30 and 49,219.80

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Solution

The fourth proportional to 86,674.20, 130,011.30 and 49,219.80 is: 73,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,674.20 : 130,011.30 = 49,219.80 : x
  2. Step 2: Convert to fraction form
    86,674.20/130,011.30 = 49,219.80/x
  3. Step 3: Cross multiply
    86,674.20x = 130,011.30 × 49,219.80
  4. Step 4: Simplify right side
    86,674.20x = 6,399,130,183.74
  5. Step 5: Solve for x
    x = 6,399,130,183.74/86,674.20
  6. Step 6: Final answer
    x = 73,829.70

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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.