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Finding the Fourth Proportional to 86,821.20, 130,231.80 and 27,661.20

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Solution

The fourth proportional to 86,821.20, 130,231.80 and 27,661.20 is: 41,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.20 : 130,231.80 = 27,661.20 : x
  2. Step 2: Convert to fraction form
    86,821.20/130,231.80 = 27,661.20/x
  3. Step 3: Cross multiply
    86,821.20x = 130,231.80 × 27,661.20
  4. Step 4: Simplify right side
    86,821.20x = 3,602,367,866.16
  5. Step 5: Solve for x
    x = 3,602,367,866.16/86,821.20
  6. Step 6: Final answer
    x = 41,491.80

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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.