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Finding the Fourth Proportional to 86,821.70, 130,135.35 and 49,399.70

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Solution

The fourth proportional to 86,821.70, 130,135.35 and 49,399.70 is: 74,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.70 : 130,135.35 = 49,399.70 : x
  2. Step 2: Convert to fraction form
    86,821.70/130,135.35 = 49,399.70/x
  3. Step 3: Cross multiply
    86,821.70x = 130,135.35 × 49,399.70
  4. Step 4: Simplify right side
    86,821.70x = 6,428,647,249.40
  5. Step 5: Solve for x
    x = 6,428,647,249.40/86,821.70
  6. Step 6: Final answer
    x = 74,044.25

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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.