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Finding the Fourth Proportional to 86,803.92, 130,216.14 and 30,632.31

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Solution

The fourth proportional to 86,803.92, 130,216.14 and 30,632.31 is: 45,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,803.92 : 130,216.14 = 30,632.31 : x
  2. Step 2: Convert to fraction form
    86,803.92/130,216.14 = 30,632.31/x
  3. Step 3: Cross multiply
    86,803.92x = 130,216.14 × 30,632.31
  4. Step 4: Simplify right side
    86,803.92x = 3,988,821,167.48
  5. Step 5: Solve for x
    x = 3,988,821,167.48/86,803.92
  6. Step 6: Final answer
    x = 45,952.09

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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.