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Finding the Fourth Proportional to 273,870.72, 410,728.32 and 86,877.36

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Solution

The fourth proportional to 273,870.72, 410,728.32 and 86,877.36 is: 130,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,870.72 : 410,728.32 = 86,877.36 : x
  2. Step 2: Convert to fraction form
    273,870.72/410,728.32 = 86,877.36/x
  3. Step 3: Cross multiply
    273,870.72x = 410,728.32 × 86,877.36
  4. Step 4: Simplify right side
    273,870.72x = 35,682,992,118.84
  5. Step 5: Solve for x
    x = 35,682,992,118.84/273,870.72
  6. Step 6: Final answer
    x = 130,291.37

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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.