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Finding the Fourth Proportional to 86,786.20, 130,082.10 and 49,364.20

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Solution

The fourth proportional to 86,786.20, 130,082.10 and 49,364.20 is: 73,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786.20 : 130,082.10 = 49,364.20 : x
  2. Step 2: Convert to fraction form
    86,786.20/130,082.10 = 49,364.20/x
  3. Step 3: Cross multiply
    86,786.20x = 130,082.10 × 49,364.20
  4. Step 4: Simplify right side
    86,786.20x = 6,421,398,800.82
  5. Step 5: Solve for x
    x = 6,421,398,800.82/86,786.20
  6. Step 6: Final answer
    x = 73,991.01

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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.